Simon Brendle

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All published works

Action	Title	Year	Authors
+ PDF Chat	A geometric approach to apriori estimates for optimal transport maps	2024	Simon Brendle Flavien Léger Robert J. McCann Cale Rankin
+	A local noncollapsing estimate for mean curvature flow	2024	Simon Brendle Keaton Naff
+ PDF Chat	Systolic inequalities and the Horowitz-Myers conjecture	2024	Simon Brendle Pei-Ken Hung
+	The Isoperimetric Inequality	2024	Simon Brendle Michael Eichmair
+ PDF Chat	Scalar Curvature Rigidity of Warped Product Metrics	2024	Christian Bär Simon Brendle Bernhard Hanke Yipeng Wang
+ PDF Chat	The isoperimetric inequality	2024	Simon Brendle Michael Eichmair
+	Scalar curvature rigidity of convex polytopes	2023	Simon Brendle
+ PDF Chat	Proof of the Michael–Simon–Sobolev inequality using optimal transport	2023	Simon Brendle Michael Eichmair
+ PDF Chat	A generalization of Geroch's conjecture	2023	Simon Brendle Sven Hirsch Florian Johne
+ PDF Chat	Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions	2023	Simon Brendle Keaton Naff
+ PDF Chat	Minimal hypersurfaces and geometric inequalities	2023	Simon Brendle
+	Rigidity of convex polytopes under the dominant energy condition	2023	Simon Brendle Tsz-Kiu Aaron Chow
+	Scalar curvature rigidity of warped product metrics	2023	Christian Baer Simon Brendle Bernhard Hanke Yipeng Wang
+	On Gromov's rigidity theorem for polytopes with acute angles	2023	Simon Brendle Yanming Wang
+	A geometric approach to apriori estimates for optimal transport maps	2023	Simon Brendle Flavien Léger Robert J. McCann Cale Rankin
+ PDF Chat	Uniqueness of compact ancient solutions to the higher-dimensional Ricci flow	2022	Simon Brendle Panagiota Daskalopoulos Keaton Naff Nataša Šešum
+ PDF Chat	Sobolev Inequalities in Manifolds with Nonnegative Curvature	2022	Simon Brendle
+ PDF Chat	Singularity Models in the Three-Dimensional Ricci Flow	2022	Simon Brendle
+	A generalization of Geroch's conjecture	2022	Simon Brendle Sven Hirsch Florian Johne
+ PDF Chat	Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions	2021	Simon Brendle Kyeongsu Choi
+ PDF Chat	Uniqueness of compact ancient solutions to three-dimensional Ricci flow	2021	Simon Brendle Panagiota Daskalopoulos Nataša Šešum
+ PDF Chat	Uniqueness of compact ancient solutions to the higher dimensional Ricci flow	2021	Simon Brendle Panagiota Daskalopoulos Keaton Naff Nataša Šešum
+	A local noncollapsing estimate for mean curvature flow	2021	Simon Brendle Keaton Naff
+	Uniqueness of compact ancient solutions to the higher dimensional Ricci flow	2021	Simon Brendle Panagiota Daskalopoulos Keaton Naff Nataša Šešum
+	The isoperimetric inequality for a minimal submanifold in Euclidean space	2020	Simon Brendle
+ PDF Chat	Unique Asymptotics of Compact Ancient Solutions to <scp>Three‐Dimensional</scp> Ricci Flow	2020	Sigurd Angenent Simon Brendle Panagiota Daskalopoulos Nataša Šešum
+ PDF Chat	The Logarithmic Sobolev Inequality for a Submanifold in Euclidean Space	2020	Simon Brendle
+	The Michael-Simon inequality for manifolds with nonnegative curvature	2020	Simon Brendle
+	Uniqueness of compact ancient solutions to three-dimensional Ricci flow	2020	Simon Brendle Panagiota Daskalopoulos Nataša Šešum
+	Minimal hypersurfaces and geometric inequalities	2020	Simon Brendle
+ PDF Chat	Ancient solutions to the Ricci flow in dimension $3$	2020	Simon Brendle
+	Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions	2020	Simon Brendle Keaton Naff
+	Unique Asymptotics of Compact Ancient Solutions to three-dimensional Ricci flow	2019	Sigurd Angenent Simon Brendle Panagiota Daskalopoulos Nataša Šešum
+ PDF Chat	Ricci flow with surgery on manifolds with positive isotropic curvature	2019	Simon Brendle
+	The isoperimetric inequality for a minimal hypersurface in Euclidean space	2019	Simon Brendle
+	On the Structure of the Critical Spectrum of Strongly Continuous Semigroups	2019	Mark D. Blake Simon Brendle Rainer Nagel
+ PDF Chat	Uniqueness of convex ancient solutions to mean curvature flow in $${\mathbb {R}}^3$$ R 3	2019	Simon Brendle Kyeongsu Choi
+	Rotational symmetry of ancient solutions to the Ricci flow in dimension $3$ -- The compact case	2019	Simon Brendle
+	The isoperimetric inequality for a minimal submanifold in Euclidean space	2019	Simon Brendle
+	A sharp inscribed radius estimate for fully nonlinear flows	2019	Simon Brendle And Pei-Ken Hung
+	The logarithmic Sobolev inequality for a submanifold in Euclidean space	2019	Simon Brendle
+	Unique Asymptotics of Compact Ancient Solutions to three-dimensional Ricci flow	2019	Sigurd Angenent Simon Brendle Panagiota Daskalopoulos Nataša Šešum
+	Mean curvature flow with surgery of mean convex surfaces in three-manifolds	2018	Simon Brendle Gerhard Huisken
+	Ancient solutions to the Ricci flow in dimension 3	2018	Simon Brendle
+ PDF Chat	Ricci flow with surgery in higher dimensions	2017	Simon Brendle
+	Ricci flow on manifolds with positive isotropic curvature	2017	Simon Brendle
+	Rotational symmetry of ancient solutions to mean curvature flow in $\mathbb{R}^3$	2017	Simon Brendle Kyeongsu Choi
+	A fully nonlinear flow for two-convex hypersurfaces in Riemannian manifolds	2017	Simon Brendle Gerhard Huisken
+ PDF Chat	Area Bounds for Minimal Surfaces that Pass Through a Prescribed Point in a Ball	2017	Simon Brendle Pei-Ken Hung
+	Ricci flow with surgery on manifolds with positive isotropic curvature	2017	Simon Brendle
+	Uniqueness of convex ancient solutions to mean curvature flow in $\mathbb{R}^3$	2017	Simon Brendle Kyeongsu Choi
+ PDF Chat	Asymptotic behavior of flows by powers of the Gaussian curvature	2017	Simon Brendle Kyeongsu Choi Panagiota Daskalopoulos
+ PDF Chat	Gluing Eguchi‐Hanson Metrics and a Question of Page	2016	Simon Brendle Nikolaos Kapouleas
+ PDF Chat	An inscribed radius estimate for mean curvature flow in Riemannian manifolds	2016	Simon Brendle
+ PDF Chat	A monotonicity formula for mean curvature flow with surgery	2016	Simon Brendle
+	Asymptotic behavior of flows by powers of the Gaussian curvature	2016	Simon Brendle Kyeongsu Choi Panagiota Daskalopoulos
+	A sharp inscribed radius estimate for fully nonlinear flows	2016	Simon Brendle Pei‐Ken Hung
+ PDF Chat	Embedded self-similar shrinkers of genus $0$	2016	Simon Brendle
+	Ricci flow with surgery in higher dimensions	2016	Simon Brendle
+	Area bounds for minimal surfaces that pass through a prescribed point in a ball	2016	Simon Brendle Pei-Ken Hung
+	A sharp inscribed radius estimate for fully nonlinear flows	2016	Simon Brendle Pei‐Ken Hung
+	Asymptotic behavior of flows by powers of the Gaussian curvature	2016	Simon Brendle Kyeongsu Choi Panagiota Daskalopoulos
+	Mean curvature flow with surgery of mean convex surfaces in $$\mathbb {R}^3$$ R 3	2015	Simon Brendle Gerhard Huisken
+ PDF Chat	On the Maximum Curvature of Closed Curves in Negatively Curved Manifolds	2015	Simon Brendle Otis Chodosh
+ PDF Chat	A sharp bound for the inscribed radius under mean curvature flow	2015	Simon Brendle
+	A fully nonlinear flow for two-convex hypersurfaces	2015	Simon Brendle Gerhard Huisken
+ PDF Chat	A comparison principle for solutions to the Ricci flow	2015	Richard H. Bamler Simon Brendle
+ PDF Chat	A Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild Manifold	2014	Simon Brendle Pei‐Ken Hung Mu‐Tao Wang
+ PDF Chat	Rotational symmetry of Ricci solitons in higher dimensions	2014	Simon Brendle
+	Differentialgeometrie im Großen	2014	Olivier Biquard Simon Brendle Bernhard Leeb
+ PDF Chat	A Volume Comparison Theorem for Asymptotically Hyperbolic Manifolds	2014	Simon Brendle Otis Chodosh
+ PDF Chat	An existence theorem for the Yamabe problem on manifolds with boundary	2014	Simon Brendle Szu-Yu Sophie Chen
+ PDF Chat	Two-point functions and their applications in geometry	2014	Simon Brendle
+	Ancient solutions to the Ricci flow in dimension $4$ and a question of Page	2014	Simon Brendle Nicolaos Kapouleas
+	Embedded Weingarten tori in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2014	Simon Brendle
+ PDF Chat	A Gibbons–Penrose Inequality for Surfaces in Schwarzschild Spacetime	2014	Simon Brendle Mu‐Tao Wang
+ PDF Chat	Large outlying stable constant mean curvature spheres in initial data sets	2014	Simon Brendle Michael Eichmair
+	Uniqueness results for minimal surfaces and constant mean curvature surfaces in Riemannian manifolds	2014	Simon Brendle
+	Gluing Eguchi-Hanson metrics and a question of Page	2014	Simon Brendle Nicolaos Kapouleas
+	Two-point functions and their applications in geometry	2014	Simon Brendle
+	Embedded self-similar shrinkers of genus 0	2014	Simon Brendle
+	Uniqueness results for minimal surfaces and constant mean curvature surfaces in Riemannian manifolds	2013	Simon Brendle
+ PDF Chat	Isoperimetric and Weingarten surfaces in the Schwarzschild manifold	2013	Simon Brendle Michael Eichmair
+	A note on Weingarten surfaces in S^3	2013	Simon Brendle
+ PDF Chat	Minimal surfaces in $$S^3$$ : a survey of recent results	2013	Simon Brendle
+ PDF Chat	Rotational symmetry of self-similar solutions to the Ricci flow	2013	Simon Brendle
+	A monotonicity formula for mean curvature flow with surgery	2013	Simon Brendle
+	An inscribed radius estimate for mean curvature flow in Riemannian manifolds	2013	Simon Brendle
+ PDF Chat	Alexandrov immersed minimal tori in $S^3$	2013	Simon Brendle
+ PDF Chat	Embedded minimal tori in S3 and the Lawson conjecture	2013	Simon Brendle
+	Mean curvature flow with surgery of mean convex surfaces in $\mathbb{R}^3$	2013	Simon Brendle Gerhard Huisken
+	Embedded Weingarten tori in S^3	2013	Simon Brendle
+	A sharp bound for the inscribed radius under mean curvature flow	2013	Simon Brendle
+	Minimal surfaces in S^3: a survey of recent results	2013	Simon Brendle
+ PDF Chat	On the Lagrangian minimal surface equation and related problems	2013	Simon Brendle
+	Ramification theory for varieties over a local field . A variational approach to complex monge-ampère equations . Constant mean curvature surfaces in warped product manifolds . Shifted symplectic structures . Geometric phantom categories	2013	和也加藤毅斎藤 Robert J. Berman Simon Brendle Tony Pantev Sergey Gorchinskiy Dmitri Olegovich Orlov
+ PDF Chat	Constant mean curvature surfaces in warped product manifolds	2012	Simon Brendle
+ PDF Chat	Ricci Flat Kähler Metrics with Edge Singularities	2012	Simon Brendle
+	Isoperimetric and Weingarten surfaces in the Schwarzschild manifold	2012	Simon Brendle Michael Eichmair
+ PDF Chat	A sharp bound for the area of minimal surfaces in the unit ball	2012	Simon Brendle
+	Uniqueness of embedded minimal tori in S^3	2012	Simon Brendle
+	Rotational symmetry of Ricci solitons in higher dimensions	2012	Simon Brendle
+	Alexandrov immersed minimal tori in S^3	2012	Simon Brendle
+	A Minkowski inequality for hypersurfaces in the Anti-deSitter-Schwarzschild manifold	2012	Simon Brendle Pei‐Ken Hung Mu‐Tao Wang
+	Embedded minimal tori in S^3 and the Lawson conjecture	2012	Simon Brendle
+ PDF Chat	Rigidity phenomena involving scalar curvature	2012	Simon Brendle
+	Isoperimetric and Weingarten surfaces in the Schwarzschild manifold	2012	Simon Brendle Michael Eichmair
+ PDF Chat	Evolution equations in Riemannian geometry	2011	Simon Brendle
+ PDF Chat	Scalar Curvature Rigidity of Geodesic Balls in $S^n$	2011	Simon Brendle Fernando C. Marcques
+	Der Sphärensatz in der Riemannschen Geometrie	2011	Simon Brendle
+ PDF Chat	Ancient solutions to the Ricci flow with pinched curvature	2011	Simon Brendle Gerhard Huisken Carlo Sinestrari
+	Hypersurfaces of constant mean curvature in deSitter-Schwarzschild space	2011	Simon Brendle
+	Riemannian Manifolds of Positive Curvature	2011	Simon Brendle Richard Schoen
+ PDF Chat	Einstein metrics and preserved curvature conditions for the Ricci flow	2011	Simon Brendle
+	On the Lagrangian minimal surface equation and related problems	2011	Simon Brendle
+	Ricci flat Kahler metrics with edge singularities	2011	Simon Brendle
+	Constant mean curvature surfaces in warped product manifolds	2011	Simon Brendle
+	A sharp bound for the area of minimal surfaces in the unit ball	2011	Simon Brendle
+	Evolution equations in Riemannian geometry	2011	Simon Brendle
+ PDF Chat	Uniqueness of gradient Ricci solitons	2011	Simon Brendle
+ PDF Chat	Deformations of the hemisphere that increase scalar curvature	2010	Simon Brendle Fernando C. Marques André Neves
+ PDF Chat	Curvature, Sphere Theorems, and the Ricci flow	2010	Simon Brendle Richard Schoen
+ PDF Chat	A note on Ricci flow and optimal transportation	2010	Simon Brendle
+	Area‐minimizing projective planes in 3‐manifolds	2010	Hubert L. Bray Simon Brendle Michael Eichmair André Neves
+ PDF Chat	A boundary value problem for minimal Lagrangian graphs	2010	Simon Brendle Micah Warren
+	Ricci Flow and the Sphere Theorem	2010	Simon Brendle
+	Convergence of evolving metrics	2010	Simon Brendle
+ PDF Chat	A survey of sphere theorems in geometry	2010	Simon Brendle
+ PDF Chat	Pointwise curvature estimates	2010	Simon Brendle
+ PDF Chat	Preserved curvature conditions in higher dimensions	2010	Simon Brendle
+ PDF Chat	Ricci flow on 𝑆²	2010	Simon Brendle
+ PDF Chat	Hamilton’s Ricci flow	2010	Simon Brendle
+	Curvature pinching in dimension 3	2010	Simon Brendle
+	Recent progress on the Yamabe problem	2010	Simon Brendle Fernando C. Marques
+	Scalar curvature rigidity of geodesic balls in S^n	2010	Simon Brendle Fernando C. Marques
+	Rigidity phenomena involving scalar curvature	2010	Simon Brendle
+	Curvature, sphere theorems, and the Ricci flow	2010	Simon Brendle Richard Schoen
+	Uniqueness of gradient Ricci solitons	2010	Simon Brendle
+	Rigidity of area-minimizing two-spheres in three-manifolds	2010	Hubert L. Bray Simon Brendle André Neves
+ PDF Chat	Rigidity of area-minimizing two-spheres in three-manifolds	2010	Hubert L. Bray Simon Brendle André Neves
+ PDF Chat	Einstein manifolds with nonnegative isotropic curvature are locally symmetric	2009	Simon Brendle
+	A Prekopa-Leindler-type inequality for Ricci flow	2009	Simon Brendle
+ PDF Chat	A generalization of Hamilton's differential Harnack inequality for the Ricci flow	2009	Simon Brendle
+ PDF Chat	Blow-up phenomena for the Yamabe equation II	2009	Simon Brendle Fernando C. Marques
+	A note on Ricci flow and optimal transportation	2009	Simon Brendle
+	An existence theorem for the Yamabe problem on manifolds with boundary	2009	Simon Brendle S. Chen
+	Sphere Theorems in Geometry	2009	Simon Brendle Richard Schoen
+	Blow-up phenomena for the Yamabe equation	2009	Simon Brendle
+	Area-minimizing projective planes in three-manifolds	2009	Hubert L. Bray Simon Brendle Michael Eichmair André Neves
+	Blow-up phenomena for the Yamabe equation II	2009	Simon Brendle Fernando C. Marques
+ PDF Chat	A general convergence result for the Ricci flow in higher dimensions	2008	Simon Brendle
+	Minimal Lagrangian diffeomorphisms between domains in the hyperbolic plane	2008	Simon Brendle
+	Manifolds with 1/4-pinched curvature are space forms	2008	Simon Brendle Richard Schoen
+	A boundary value problem for the Lagrangian minimal surface equation in arbitrary dimension	2008	Simon Brendle
+ PDF Chat	Classification of manifolds with weakly 1/4-pinched curvatures	2008	Simon Brendle Richard Schoen
+	On the conformal scalar curvature equation and related problems	2008	Simon Brendle
+	Minimal Lagrangian diffeomorphisms between domains in the hyperbolic plane	2008	Simon Brendle
+	A boundary value problem for minimal Lagrangian graphs	2008	Simon Brendle Micah Warren
+ PDF Chat	Sphere theorems in geometry	2008	Simon Brendle Richard Schoen
+	Convergence of the Yamabe flow in dimension 6 and higher	2007	Simon Brendle
+	A generalization of Hamilton's Harnack inequality for the Ricci flow	2007	Simon Brendle
+	Blow-up phenomena for the Yamabe equation	2007	Simon Brendle
+	Elliptic and parabolic problems in conformal geometry	2007	Simon Brendle
+	A generalization of Hamilton's differential Harnack inequality for the Ricci flow	2007	Simon Brendle
+	A general convergence result for the Ricci flow in higher dimensions	2007	Simon Brendle
+ PDF Chat	A Short Proof for the Convergence of the Yamabe Flow on Sn	2007	Simon Brendle
+	Classification of manifolds with weakly 1/4-pinched curvatures	2007	Simon Brendle Richard Schoen
+	Manifolds with 1/4-pinched Curvature are Space Forms	2007	Simon Brendle Richard Schoen
+ PDF Chat	On the conformal scalar curvature equation and related problems	2007	Simon Brendle
+	Convergence of the Q-curvature flow on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math>	2005	Simon Brendle
+ PDF Chat	Convergence of the Yamabe flow for arbitrary initial energy	2005	Simon Brendle
+	A variational characterization for $\sigma_{n/2}$	2004	Simon Brendle JeffA. Viaclovsky
+	Global existence and convergence for a higher order flow in conformal geometry	2004	Simon Brendle
+ PDF Chat	Global existence and convergence for a higher order flow in conformal geometry	2003	Simon Brendle
+	On solutions to the Ginzburg-Landau equations in higher dimensions	2003	Simon Brendle
+	On the construction of solutions to the Yang-Mills equations in higher dimensions	2003	Simon Brendle
+	Complex anti-self-dual instantons and Cayley submanifolds	2003	Simon Brendle
+ PDF Chat	Prescribing a Higher Order Conformal Invariant on S<sup>n</sup>	2003	Simon Brendle
+	A family of curvature flows on surfaces with boundary	2002	Simon Brendle
+	Curvature flows on surfaces with boundary	2002	Simon Brendle
+	Hypersurfaces in Minkowski space with vanishing mean curvature	2002	Simon Brendle
+	A generalization of the Yamabe flow for manifolds with boundary	2002	Simon Brendle
+	PFDE with nonautonomous past	2002	Simon Brendle Rainer Nagel
+	On the Asymptotic Behavior of Perturbed Strongly Continuous Semigroups	2001	Simon Brendle
+	None	2001	Simon Brendle
+	On the spectral mapping theorem for perturbed strongly continuous semigroups	2000	Simon Brendle Rainer Nagel Jan Poland

Common Coauthors

Coauthor	Papers Together
Panagiota Daskalopoulos	11
Richard Schoen	9
Michael Eichmair	9
Nataša Šešum	8
Keaton Naff	7
Kyeongsu Choi	7
Gerhard Huisken	6
Fernando C. Marques	5
André Neves	5
Pei‐Ken Hung	4
Hubert L. Bray	4
Mu‐Tao Wang	3
Rainer Nagel	3
Pei-Ken Hung	3
Sigurd Angenent	3
Florian Johne	2
Yipeng Wang	2
Robert J. McCann	2
Cale Rankin	2
Nicolaos Kapouleas	2
Sven Hirsch	2
Micah Warren	2
Otis Chodosh	2
Bernhard Hanke	2
Flavien Léger	2
JeffA. Viaclovsky	1
Carlo Sinestrari	1
Szu-Yu Sophie Chen	1
毅斎藤	1
Dmitri Olegovich Orlov	1
和也加藤	1
Mark D. Blake	1
Robert J. Berman	1
Olivier Biquard	1
Nikolaos Kapouleas	1
Bernhard Leeb	1
Jan Poland	1
S. Chen	1
Tsz-Kiu Aaron Chow	1
Christian Bär	1
Sergey Gorchinskiy	1
Fernando C. Marcques	1
Yanming Wang	1
Richard H. Bamler	1
Tony Pantev	1
Christian Baer	1
And Pei-Ken Hung	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The entropy formula for the Ricci flow and its geometric applications	2002	Grisha Perelman	41
+ PDF Chat	Three-manifolds with positive Ricci curvature	1982	Richard S. Hamilton	38
+ PDF Chat	Four-manifolds with positive curvature operator	1986	Richard S. Hamilton	32
+ PDF Chat	Four-manifolds with positive isotropic curvature	1997	Richard S. Hamilton	30
+	Ricci Flow and the Sphere Theorem	2010	Simon Brendle	26
+	Manifolds with 1/4-pinched curvature are space forms	2008	Simon Brendle Richard Schoen	23
+ PDF Chat	Rotational symmetry of self-similar solutions to the Ricci flow	2013	Simon Brendle	19
+	Minimal Two-Spheres and the Topology of Manifolds with Positive Curvature on Totally Isotropic Two-Planes	1988	Mario Micallef John Douglas Moore	18
+	Sobolev and mean‐value inequalities on generalized submanifolds of R<sup>n</sup>	1973	J. H. Michael L. Simon	18
+	The nature of singularities in mean curvature flow of mean-convex sets	2002	Brian White	18
+	Blow-up phenomena for the Yamabe equation	2007	Simon Brendle	16
+ PDF Chat	A distance comparison principle for evolving curves	1998	Gerhard Huisken	16
+	The Harnack estimate for the Ricci flow	1993	Richard S. Hamilton	15
+	Finite extinction time for the solutions to the Ricci flow on certain three-manifolds	2003	Grisha Perelman	15
+ PDF Chat	Asymptotic behavior for singularities of the mean curvature flow	1990	Gerhard Huisken	15
+ PDF Chat	Embedded minimal tori in S3 and the Lawson conjecture	2013	Simon Brendle	15
+ PDF Chat	Conformal deformation of a Riemannian metric to constant scalar curvature	1984	Richard Schoen	14
+	Ricci flow with surgery on three-manifolds	2003	Grisha Perelman	14
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	12
+	Remarks concerning the conformal deformation of riemannian structures on compact manifolds	1968	Neil S. Trudinger	12
+ PDF Chat	On the proof of the positive mass conjecture in general relativity	1979	Richard Schoen Shing-Tung Yau	12
+	The Penrose inequality in general relativity and volume comparison theorems involving scalar curvature	1997	Hubert L. Bray	12
+ PDF Chat	A sharp bound for the inscribed radius under mean curvature flow	2015	Simon Brendle	12
+ PDF Chat	Ricci deformation of the metric on a Riemannian manifold	1985	Gerhard Huisken	12
+	Subsequent Singularities in Mean-Convex Mean Curvature Flow	2011	Brian White	11
+	The Ricci flow on surfaces	1988	Richard S. Hamilton	11
+	Metrics with nonnegative isotropic curvature	1993	Mario Micallef McKenzie Y. Wang	11
+	Asymptotics for a Class of Non-Linear Evolution Equations, with Applications to Geometric Problems	1983	Leon Simon	11
+ PDF Chat	Ancient solutions to the Ricci flow with pinched curvature	2011	Simon Brendle Gerhard Huisken Carlo Sinestrari	11
+ PDF Chat	A general convergence result for the Ricci flow in higher dimensions	2008	Simon Brendle	11
+ PDF Chat	The size of the singular set in mean curvature flow of mean-convex sets	2000	Brian White	11
+ PDF Chat	Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature	1996	Gerhard Huisken Shing‐Tung Yau	11
+	Complete Minimal Surfaces in S 3	1970	H. Blaine Lawson	10
+ PDF Chat	Deforming metrics in the direction of their Ricci tensors	1983	Dennis DeTurck	10
+ PDF Chat	Fundamental groups of manifolds with positive isotropic curvature	2003	Ailana Fraser	10
+ PDF Chat	Flow by mean curvature of convex surfaces into spheres	1984	Gerhard Huisken	10
+ PDF Chat	Blow-up phenomena for the Yamabe equation II	2009	Simon Brendle Fernando C. Marques	10
+ PDF Chat	Unique asymptotics of ancient convex mean curvature flow solutions	2019	Sigurd Angenent Panagiota Daskalopoulos Nataša Šešum	10
+	On the First Variation of a Varifold	1972	William K. Allard	10
+ PDF Chat	Eternal solutions to the Ricci flow	1993	Richard S. Hamilton	10
+ PDF Chat	Mean curvature flow with surgeries of two–convex hypersurfaces	2008	Gerhard Huisken Carlo Sinestrari	9
+ PDF Chat	The mass of an asymptotically flat manifold	1986	Robert Bartnik	9
+ PDF Chat	A sharp characterization of the smooth 4-sphere in curvature terms	1998	Christophe Margerin	9
+ PDF Chat	Classification of manifolds with weakly 1/4-pinched curvatures	2008	Simon Brendle Richard Schoen	9
+ PDF Chat	Classification of ancient compact solutions to the Ricci flow on surfaces	2012	Panagiota Daskalopoulos Richard S. Hamilton Nataša Šešum	9
+ PDF Chat	A generalization of Hamilton's differential Harnack inequality for the Ricci flow	2009	Simon Brendle	9
+	The motion of a surface by its mean curvature	1978	Kenneth A. Brakke	9
+	Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung	1961	Wilhelm Klingenberg	9
+ PDF Chat	Two-point functions and their applications in geometry	2014	Simon Brendle	9
+ PDF Chat	Singularity Profile in the Mean Curvature Flow	2009	Weimin Sheng Xu‐Jia Wang	8