Christine Guenther

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All published works

Action	Title	Year	Authors
+	Well-posedness of nonlinear flows on manifolds of bounded geometry	2024	Eric Bahuaud Christine Guenther James Isenberg Rafe Mazzeo
+ PDF Chat	Convergence stability for Ricci flow on manifolds with bounded geometry	2023	Eric Bahuaud Christine Guenther James Isenberg Rafe Mazzeo
+	Convergence stability for Ricci flow on manifolds with bounded geometry	2023	Eric Bahuaud Christine Guenther James Isenberg Rafe Mazzeo
+	Wellposedness of nonlinear flows on manifolds of bounded geometry	2022	Eric Bahuaud Christine Guenther James Isenberg Rafe Mazzeo
+	Sectoriality of the Laplacian on Asymptotically Hyperbolic Spaces	2021	Eric Bahuaud Christine Guenther James Isenberg
+	Sectoriality of the Laplacian on Asymptotically Hyperbolic Spaces	2021	Eric Bahuaud Christine Guenther James Isenberg
+	Second Order Renormalization Group Flow	2020	Christine Guenther
+ PDF Chat	Scaling and Entropy for the RG-2 Flow	2020	Mauro Carfora Christine Guenther
+	Noncollapsing	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+	Extrinsic Geometric Flows	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+ PDF Chat	Mean convex mean curvature flow	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+	The Gage–Hamilton–Grayson theorem	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+	Flows of mean curvature type	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+	Flows by superaffine powers of the Gauß curvature	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+	Huisken’s theorem	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+ PDF Chat	Hypersurfaces in Euclidean space	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+	Monotonicity formulae	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+	Fully nonlinear curvature flows	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+ PDF Chat	Flows of inverse-mean curvature type	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+ PDF Chat	Gauß curvature flows	2020	Ben Andrews Bennett Chow Christine Guenther Mat Langford
+ PDF Chat	Convergence Stability for Ricci Flow	2019	Eric Bahuaud Christine Guenther James Isenberg
+	Scaling and Entropy for the RG-2 Flow	2018	Mauro Carfora Christine Guenther
+	Convergence Stability for Ricci Flow	2018	Eric Bahuaud Christine Guenther James Isenberg
+	Convergence Stability for Ricci Flow	2018	Eric Bahuaud Christine Guenther James Isenberg
+	Scaling and Entropy for the RG-2 Flow	2018	Mauro Carfora Christine Guenther
+	Nonsingular solutions on closed 3-manifolds	2015	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+ PDF Chat	Constant mean curvature surfaces and harmonic maps by IFT	2015	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Noncompact hyperbolic limits	2015	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+	Noncompact gradient Ricci solitons	2015	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+	Type II singularities and degenerate neckpinches	2015	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+	Hyperbolic geometry and 3-manifolds	2015	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Stability of Ricci flow	2015	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+ PDF Chat	The Ricci Flow: Techniques and Applications	2015	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+ PDF Chat	Short-time existence for the second order renormalization group flow in general dimensions	2015	Karsten Gimre Christine Guenther James Isenberg
+	Long-time solutions and related topics	2015	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+	Short-time existence for the second order renormalization group flow in general dimensions	2014	Karsten Gimre Christine Guenther James Isenberg
+	Short-time existence for the second order renormalization group flow in general dimensions	2014	Karsten Gimre Christine Guenther James Isenberg
+	A geometric introduction to the 2-loop renormalization group flow	2013	Karsten Gimre Christine Guenther James Isenberg
+	A geometric introduction to the two-loop renormalization group flow	2013	Karsten Gimre Christine Guenther James Isenberg
+ PDF Chat	Second-order renormalization group flow of three-dimensional homogeneous geometries	2013	Karsten Gimre Christine Guenther James Isenberg
+	A geometric introduction to the 2-loop renormalization group flow	2013	Karsten Gimre Christine Guenther James Isenberg
+	Second-Order Renormalization Group Flow of Three-Dimensional Homogeneous Geometries	2012	Karsten Gimre Christine Guenther James Isenberg
+	Second-Order Renormalization Group Flow of Three-Dimensional Homogeneous Geometries	2012	Karsten Gimre Christine Guenther James Isenberg
+	The Ricci Flow: Techniques and Applications	2010	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+	Bounds for the heat kernel for evolving metrics	2010	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Asymptotic cones and Sharafutdinov retraction	2010	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Estimates of the heat equation for evolving metrics	2010	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Compactness of the space of 𝜅-solutions	2010	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Elementary aspects of metric geometry	2010	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Geometric properties of 𝜅-solutions	2010	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Entropy, 𝜇-invariant, and finite time singularities	2010	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+	Convex functions on Riemannian manifolds	2010	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Geometric-analytic aspects	2010	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+ PDF Chat	Stability of the (Two-Loop) Renormalization Group Flow for Nonlinear Sigma Models	2008	Christine Guenther Todd A. Oliynyk
+	The Ricci Flow: Techniques and Applications	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+	Differential Harnack estimates of LYH-type	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Closed manifolds with positive curvature	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+	Weak and strong maximum principles on noncompact manifolds	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	The Ricci Flow: Techniques and Applications	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+	Local derivative of curvature estimates	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Basic topology of 3-manifolds	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	Kähler-Ricci flow and Kähler-Ricci solitons	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+	The compactness theorem for Ricci flow	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+	The Ricci Flow: Techniques and Applications	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni
+	Ricci solitons	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo Lei Ni
+ PDF Chat	Linear stability of homogeneous Ricci solitons	2006	Christine Guenther James Isenberg Daniel Knopf
+	Linear stability of homogeneous Ricci solitons	2006	Christine Guenther James Isenberg Dan Knopf
+	The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our Time	2003	Christine Guenther
+	The fundamental solution on manifolds with time-dependent metrics	2002	Christine Guenther
+ PDF Chat	Stability of the Ricci flow at Ricci-flat metrics	2002	Christine Guenther James Isenberg Dan Knopf
+	Contributions to multidimensional quadrature formulas	1976	Christine Guenther

Common Coauthors

Coauthor	Papers Together
James Isenberg	51
Bennett Chow	42
Dan Knopf	32
David Glickenstein	30
Tom Ivey	30
Sun-Chin Chu	30
Lei Ni	28
Feng Luo	16
Feng Luo	14
Mat Langford	12
Ben Andrews	12
Peng Lü	12
Eric Bahuaud	9
Karsten Gimre	9
Peng Lu	7
Peng Lu	4
Rafe Mazzeo	4
Mauro Carfora	3
Peng Lu	2
Lei Ni	2
Peng Lü	2
Peng Lu	2
Daniel Knopf	1
Todd A. Oliynyk	1
Peng Lu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Three-manifolds with positive Ricci curvature	1982	Richard S. Hamilton	7
+ PDF Chat	Stability of the (Two-Loop) Renormalization Group Flow for Nonlinear Sigma Models	2008	Christine Guenther Todd A. Oliynyk	7
+ PDF Chat	Stability of the Ricci flow at Ricci-flat metrics	2002	Christine Guenther James Isenberg Dan Knopf	7
+	The Ricci Flow: An Introduction	2004	Bennett Chow Dan Knopf	7
+	Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space	1988	Giuseppe Da Prato Alessandra Lunardi	6
+	The entropy formula for the Ricci flow and its geometric applications	2002	Grisha Perelman	5
+ PDF Chat	Quasi-convergence of model geometries under the Ricci flow	2001	Dan Knopf Kevin McLeod	5
+ PDF Chat	A nonlinear Poisson transform for Einstein metrics on product spaces	2011	Olivier Biquard Rafe Mazzeo	5
+	Nonlinear models in 2 + ε dimensions	1985	Daniel Friedan	4
+ PDF Chat	Asymptotic stability of the cross curvature flow at a hyperbolic metric	2008	Dan Knopf Andrea Young	4
+ PDF Chat	Second-order renormalization group flow of three-dimensional homogeneous geometries	2013	Karsten Gimre Christine Guenther James Isenberg	4
+ PDF Chat	Ricci flow of locally homogeneous geometries on closed manifolds	1992	James Isenberg M. J. Jackson	4
+ PDF Chat	The second-order renormalization group flow for nonlinear sigma models in two dimensions	2009	Todd A. Oliynyk	4
+ PDF Chat	Deforming metrics in the direction of their Ricci tensors	1983	Dennis DeTurck	4
+	Elliptic theory of differential edge operators I	1991	Rafe Mazzeo	3
+ PDF Chat	Maskit combinations of Poincaré–Einstein metrics	2005	Rafe Mazzeo Frank Pacard	3
+ PDF Chat	Convergence Stability for Ricci Flow	2019	Eric Bahuaud Christine Guenther James Isenberg	3
+	On the second derivative of the total scalar curvature	1979	Norihito Koiso	3
+	Short-Time Existence of the Second Order Renormalization Group Flow in Dimension Three	2013	Laura Cremaschi Carlo Mantegazza	3
+ PDF Chat	Metric for gradient renormalization group flow of the worldsheet sigma model beyond first order	2007	Todd A. Oliynyk Vardarajan Suneeta Eric Woolgar	3
+	Einstein metrics with prescribed conformal infinity on the ball	1991	C. Robin Graham John M. Lee	3
+ PDF Chat	Short-time existence for the second order renormalization group flow in general dimensions	2015	Karsten Gimre Christine Guenther James Isenberg	2
+ PDF Chat	Deforming the metric on complete Riemannian manifolds	1989	Wan-Xiong Shi	2
+	A geometric introduction to the two-loop renormalization group flow	2013	Karsten Gimre Christine Guenther James Isenberg	2
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	2
+ PDF Chat	Four-manifolds with positive curvature operator	1986	Richard S. Hamilton	2
+	Metric Structures for Riemannian and Non-Riemannian Spaces	2007	Mikhael Gromov	2
+ PDF Chat	Uniqueness of the Ricci flow on complete noncompact manifolds	2006	Bing-Long Chen Xi-Ping Zhu	2
+	Generation of Analytic Semigroups by Elliptic Operators with Unbounded Coefficients	1987	Piermarco Cannarsa Vincenzo Vesprı	2
+ PDF Chat	Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces	1995	Jürgen Berndt F. Tricerri L. Vanhecke	2
+	Riemannian Geometry and Geometric Analysis	1998	Jürgen Jost	2
+	THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION	2001	Félix Otto	2
+ PDF Chat	On Stability of the Hyperbolic Space Form under the Normalized Ricci Flow	2010	Haozhao Li Hao Yin	2
+	The Module Structure Theorem for Sobolev Spaces on Open Manifolds	1998	Jürgen Eichhorn Jan Fricke	2
+	Unique Continuation at Infinity and Embedded Eigenvalues for Asymptotically Hyperbolic Manifolds	1991	Rafe Mazzeo	2
+ PDF Chat	Some Geometric Calculations on Wasserstein Space	2007	John Lott	2
+ PDF Chat	A gradient flow for worldsheet nonlinear sigma models	2006	Todd A. Oliynyk Vardarajan Suneeta Eric Woolgar	2
+ PDF Chat	Geometric Theory of Semilinear Parabolic Equations	1981	Daniel Henry	2
+ PDF Chat	Elliptic operators and the decomposition of tensor fields	1981	Murray Cantor	2
+ PDF Chat	Convergence of the Ricci flow for metrics with indefinite Ricci curvature	1990	Mauro Carfora James Isenberg M. J. Jackson	2
+ PDF Chat	Collapsing Riemannian manifolds to ones of lower dimensions	1987	Kenji Fukaya	2
+	Noncompact homogeneous Einstein spaces	1998	Jens Heber	2
+	A Compactness Property for Solutions of the Ricci Flow	1995	Richard S. Hamilton	2
+ PDF Chat	Collapsing Riemannian manifolds while keeping their curvature bounded. I	1986	Jeff Cheeger Mikhael Gromov	2
+ PDF Chat	Stability of hyperbolic space under Ricci flow	2011	Oliver C. Schnürer Felix Schulze Miles Simon	2
+ PDF Chat	Ricci solitons on compact three-manifolds	1993	Thomas Ivey	2
+	The Ricci Flow: Techniques and Applications	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni	2
+ PDF Chat	A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow	2006	Huai-Dong Cao Xi-Ping Zhu	2
+	Curvatures of left invariant metrics on lie groups	1976	John Milnor	2
+ PDF Chat	Stability of symmetric spaces of noncompact type under Ricci flow	2015	Richard H. Bamler	2