Peter Petersen

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All published works

Action	Title	Year	Authors
+ PDF	Holonomy restrictions from the curvature operator of the second kind	2023	Jan Nienhaus Peter Petersen Matthias Wink William Wylie
+ PDF Chat	Alexandrov spaces with maximal radius	2022	Karsten Grove Peter Petersen
+ PDF	Tachibana-type theorems and special Holonomy	2022	Peter Petersen Matthias Wink
+	Holonomy restrictions from the curvature operator of the second kind	2022	Jan Nienhaus Peter Petersen Matthias Wink William Wylie
+	Rigidity of Alexandrov Spaces	2022	Peter Petersen
+ PDF Chat	Vanishing and estimation results for Hodge numbers	2021	Peter Petersen Matthias Wink
+ PDF Chat	New curvature conditions for the Bochner Technique	2020	Peter Petersen Matthias Wink
+	Rigidity of Homogeneous Gradient Soliton Metrics and Related Equations	2020	Peter Petersen William Wylie
+ PDF	The Bochner Technique and Weighted Curvatures	2020	Peter Petersen Matthias Wink
+ PDF	The Boundary Conjecture for Leaf Spaces	2020	Karsten Grove Adam Moreno Peter Petersen
+	The Boundary Conjecture for Leaf Spaces	2018	Karsten Grove Adam Moreno Peter Petersen
+ PDF	A step towards the Alekseevskii conjecture	2016	Michael Jablonski Peter Petersen
+	The Bochner Technique	2016	Peter Petersen
+	Sectional Curvature Comparison II	2016	Peter Petersen
+	Ricci Curvature Comparison	2016	Peter Petersen
+	Sectional Curvature Comparison I	2016	Peter Petersen
+	Killing Fields	2016	Peter Petersen
+	Convergence	2016	Peter Petersen
+	Riemannian Geometry	2016	Peter Petersen
+	Geodesics and Distance	2016	Peter Petersen
+	Symmetric Spaces and Holonomy	2016	Peter Petersen
+ PDF	Warped product rigidity	2015	Chenxu He Peter Petersen William Wylie
+ PDF Chat	Uniqueness of Warped Product Einstein Metrics and Applications	2014	Chenxu He Peter Petersen William Wylie
+ PDF Chat	Linear stability of algebraic Ricci solitons	2014	Michael Jablonski Peter Petersen Michael Williams
+	A step towards the Alekseevskii Conjecture	2014	Michael Jablonski Peter Petersen
+	On the linear stability of expanding Ricci solitons	2014	Michael Jablonski Peter Petersen Michael Williams
+ PDF	Warped product Einstein metrics over spaces with constant scalar curvature	2014	Chenxu He Peter Petersen William Wylie
+ PDF	Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons	2013	Chenxu He Peter Petersen William Wylie
+	Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons	2013	Chenxu He Peter Petersen William Wylie
+	Linear Operators on Inner Product Spaces	2012	Peter Petersen
+ PDF	On the classification of warped product Einstein metrics	2012	Chenxu He Peter Petersen William Wylie
+	The Space of Virtual Solutions to the Warped Product Einstein Equation	2011	Chenxu He Peter Petersen William Wylie
+	Uniqueness of warped product Einstein metrics and applications	2011	Chenxu He Peter Petersen William Wylie
+	Warped product rigidity	2011	Chenxu He Peter Petersen William Wylie
+ PDF	On the classification of gradient Ricci solitons	2010	Peter Petersen William Wylie
+	On the classification of warped product Einstein metrics	2010	Chenxu He Peter Petersen William Wylie
+	Warped product Einstein metrics over spaces with constant scalar curvature	2010	Chenxu He Peter Petersen William Wylie
+ PDF	Rigidity of gradient Ricci solitons	2009	Peter Petersen William Wylie
+ PDF	Classification of almost quarter-pinched manifolds	2009	Peter Petersen Terence Tao
+	On gradient Ricci solitons with symmetry	2009	Peter Petersen William Wylie
+	Some Principles for Deforming Nonnegative Curvature	2009	Peter Petersen Frederick Wilhelm
+	An exotic sphere with positive sectional curvature	2008	Peter Petersen Frederick Wilhelm
+	Classification of Almost Quarter-Pinched Manifolds	2008	Peter Petersen Terence Tao
+ PDF	Generalized doubling meets Poincaré	2007	Colin Hinde Peter Petersen
+	Rigidity of gradient Ricci Solitons	2007	Peter Petersen William Wylie
+	On gradient Ricci solitons with Symmetry	2007	Peter Petersen William Wylie
+	Riemannian Geometry	2006	Peter Petersen
+ PDF	Erratum to: On eigenvalue pinching in positive curvature	2003	Peter Petersen
+ PDF	On Frankel’s Theorem	2003	Peter Petersen Frederick Wilhelm
+ PDF	Rigidity and compactness of Einstein metrics	2001	Peter Petersen
+	Analysis and geometry on manifolds with integral Ricci curvature bounds. II	2000	Peter Petersen Guofang Wei
+	Integral pinching theorems	2000	Xianzhe Dai Peter Petersen Guofang Wei
+ PDF	Examples of Riemannian manifolds with positive curvature almost everywhere	1999	Peter Petersen Frederick Wilhelm
+	On eigenvalue pinching in positive Ricci curvature	1999	Peter Petersen
+	Eigenvalue pinching for Riemannian vector bundles	1999	Peter Petersen Chadwick Sprouse
+ PDF	Aspects of global Riemannian geometry	1999	Peter Petersen
+ PDF	Integral curvature bounds, distance estimates and applications	1998	Peter Petersen Chadwick Sprouse
+	Curvature	1998	Peter Petersen
+	Relative Volume Comparison with Integral Curvature Bounds	1997	Peter Petersen Guofang Wei
+	Convergence Theorems in Riemannian Geometry	1997	Peter Petersen
+	Rigidity in non-negative curvature1	1997	Luis Guijarro Peter Petersen
+	Observer fields and the strong energy condition	1996	Peter Petersen Gerard Walschap
+	Spaces on and beyond the boundary of existence	1995	Peter Petersen Frederick Wilhelm Shunhui Zhu
+	Controlled Geometry via Smoothing	1995	Peter Petersen Guofang Wei Rugang Ye
+	The Law of Large Numbers and √2	1995	Thomas M. Liggett Peter Petersen
+ PDF	U(2) invariant four dimensional Einstein metrics	1995	Peter Petersen Shunhui Zhu
+	The Law of Large Numbers and √2	1995	Thomas M. Liggett Peter Petersen
+	Controlled Geometry via Smoothing	1995	Peter Petersen Guofang Wei Rugang Ye
+ PDF	Spectral geometry in dimension 3	1994	Robert Brooks Peter Perry Peter Petersen
+	None	1994	Robert Greene Peter Petersen Shunhui Zhu
+	A radius sphere theorem	1993	Karsten Grove Peter Petersen
+	On Cheeger's inequality	1993	Robert Brooks Peter Perry Peter Petersen
+ PDF	An excess sphere theorem	1993	Peter Petersen Shunhui Zhu
+ PDF	Volume comparison à la Aleksandrov	1992	Karsten Grove Peter Petersen
+	Small excess and Ricci curvature	1991	Peter Petersen
+ PDF	Groups, Coverings and Galois Theory	1991	Vagn Lundsgaard Hansen Peter Petersen
+ PDF	Manifolds near the boundary of existence	1991	Karsten Grove Peter Petersen
+	Geometric finiteness theorems via controlled topology	1990	Karsten Grove Peter Petersen Jyh-Yang Wu
+ PDF	A Pinching Theorem for Homotopy Spheres	1990	Karsten Grove Peter Petersen
+ PDF	A pinching theorem for homotopy spheres	1990	Karsten Grove Peter Petersen
+ PDF	Controlled topology in geometry	1989	Karsten Grove Peter Petersen Jiarui Wu
+	The Testing of M. Falk Gjertsen	1988	Peter Petersen Nina Draxten
+	Homotopy Types of Positively Curved Manifolds with Large Volume	1988	Karsten Grove Peter Petersen
+	Bounding Homotopy Types by Geometry	1988	Karsten Grove Peter Petersen

Common Coauthors

Coauthor	Papers Together
William Wylie	19
Karsten Grove	12
Chenxu He	11
Matthias Wink	6
Frederick Wilhelm	5
Guofang Wei	5
Michael Jablonski	4
Shunhui Zhu	4
Terence Tao	2
Michael Williams	2
Peter Perry	2
Jan Nienhaus	2
Robert Brooks	2
Chadwick Sprouse	2
Rugang Ye	2
Adam Moreno	2
Thomas M. Liggett	2
Luis Guijarro	1
Vagn Lundsgaard Hansen	1
Nina Draxten	1
Robert Greene	1
Colin Hinde	1
Jiarui Wu	1
Xianzhe Dai	1
Jyh-Yang Wu	1
Gerard Walschap	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Three-manifolds with positive Ricci curvature	1982	Richard S. Hamilton	18
+	A Generalized Sphere Theorem	1977	Karsten Grove Katsuhiro Shiohama	14
+	Ricci soliton homogeneous nilmanifolds	2001	Jorge Lauret	11
+ PDF	Compact Einstein warped product spaces with nonpositive scalar curvature	2003	Dong-Soo Kim Young Ho Kim	10
+	Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products	1996	Jeff Cheeger Tobias Colding	9
+	On gradient Ricci solitons with symmetry	2009	Peter Petersen William Wylie	9
+	Manifolds with positive curvature operators are space forms	2007	Christoph Böhm Burkhard Wilking	9
+	Curvature, diameter and betti numbers	1981	Michael Gromov	8
+ PDF	Metric foliations and curvature	1992	Detlef Gromoll Gerard Walschap	8
+ PDF	Manifolds with positive curvature operators are space forms	2008	Christoph Böhm Burkhard Wilking	8
+	Bounding Homotopy Types by Geometry	1988	Karsten Grove Peter Petersen	8
+ PDF	Four-manifolds with positive curvature operator	1986	Richard S. Hamilton	7
+ PDF Chat	Ricci soliton solvmanifolds	2011	Jorge Lauret	7
+	New inhomogeneous Einstein metrics on sphere bundles over Einstein–Kähler manifolds	2004	H. Lü Don N. Page C.N. Pope	7
+ PDF	Manifolds near the boundary of existence	1991	Karsten Grove Peter Petersen	7
+ PDF	The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature	1988	Ngaiming Mok	7
+ PDF Chat	Ricci solitons: the equation point of view	2008	Manolo Eminenti Gabriele La Nave Carlo Mantegazza	7
+	Curvatures of left invariant metrics on lie groups	1976	John Milnor	7
+ PDF	Non-compact cohomogeneity one Einstein manifolds	1999	Christoph Böhm	7
+ PDF	Classification of manifolds with weakly 1/4-pinched curvatures	2008	Simon Brendle Richard Schoen	7
+	Inhomogeneous Einstein metrics on low-dimensional spheres and other low-dimensional spaces	1998	Christoph Böhm	7
+ PDF	Homogeneous Einstein spaces of dimension four	1969	Gary R. Jensen	7
+	Noncompact homogeneous Einstein spaces	1998	Jens Heber	7
+	Rigidity of quasi-Einstein metrics	2010	Jeffrey S. Case Yu-Jen Shu Guofang Wei	6
+ PDF	Warped product Einstein metrics over spaces with constant scalar curvature	2014	Chenxu He Peter Petersen William Wylie	6
+	Finiteness Theorems for Riemannian Manifolds	1970	Jeff Cheeger	6
+	Riemannian Geometry	2016	Peter Petersen	6
+ PDF	Comparison geometry for the Bakry-Emery Ricci tensor	2009	Guofang Wei William Wylie	6
+	Geometric finiteness theorems via controlled topology	1990	Karsten Grove Peter Petersen Jyh-Yang Wu	6
+	Manifolds with 1/4-pinched curvature are space forms	2008	Simon Brendle Richard Schoen	6
+	Metrics of positive ricci curvature with large diameter	1990	Michael T. Anderson	6
+ PDF	A finiteness theorem for metric spaces	1990	V Peter Petersen	6
+ PDF	On the structure of spaces with Ricci curvature bounded below. I	1997	Jeff Cheeger Tobias Colding	6
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin	6
+	Scalar Curvature Deformation and a Gluing Construction for the Einstein Constraint Equations	2000	Justin Corvino	6
+	Einstein spaces which are mapped conformally on each other	1925	Hans-Berndt Brinkmann	6
+	Groups of polynomial growth and expanding maps	1981	Mikhael Gromov	5
+	Ricci Curvature and Volume Convergence	1997	Tobias Colding	5
+	Comparison Geometry for the Bakry-Emery Ricci Tensor	2007	Guofang Wei William Wylie	5
+ PDF	Ricci solitons on compact three-manifolds	1993	Thomas Ivey	5
+ PDF	A theorem on Riemannian manifolds of positive curvature operator	1974	Shun-ichi Tachibana	5
+	Comparison Geometry with Integral Curvature Bounds	1997	P A Peterson Semion Shteingold Guofang Wei	5
+	Eigenvalue comparison theorems and its geometric applications	1975	Shiu‐Yuen Cheng	5
+ PDF	Integral curvature bounds, distance estimates and applications	1998	Peter Petersen Chadwick Sprouse	5
+	Totally geodesic foliations	1980	David L. Johnson Lee Whitt	5
+	The Schwarzian derivative and conformal mapping of Riemannian manifolds	1992	Brad Osgood Dennis Stowe	5
+	Relative Volume Comparison with Integral Curvature Bounds	1997	Peter Petersen Guofang Wei	5
+	On manifolds of positive Ricci curvature with large diameter	1991	Yukio Otsu	5
+ PDF	On the classification of warped product Einstein metrics	2012	Chenxu He Peter Petersen William Wylie	5
+ PDF	Einstein solvmanifolds are standard	2010	Jorge Lauret	4