Guofang Wei

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All published works

Action	Title	Year	Authors
+ PDF Chat	Singular metrics with nonnegative scalar curvature and RCD	2024	Xianzhe Dai Changliang Wang Lihe Wang Guofang Wei
+	Finite diffeomorphism theorem for manifolds with lower Ricci curvature and bounded energy	2024	Wenshuai Jiang Guofang Wei
+ PDF Chat	Volume entropy and rigidity for RCD-spaces	2024	Chris Connell Xianzhe Dai Jesús Núñez‐Zimbrón Raquel Perales Pablo Suárez‐Serrato Guofang Wei
+ PDF Chat	Probabilistic method to fundamental gap problems on the sphere	2024	Gunhee Cho Guofang Wei Guang Yang
+ PDF Chat	Finite Diffeomorphism Theorem for manifolds with lower Ricci curvature and bounded energy	2024	Wenshuai Jiang Guofang Wei
+ PDF Chat	Singular Weyl’s law with Ricci curvature bounded below	2023	Xianzhe Dai Shouhei Honda Jiayin Pan Guofang Wei
+ PDF Chat	None	2023	Xianzhe Dai Shouhei Honda Jiayin Pan Guofang Wei
+ PDF Chat	Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains	2023	Xavier Ramos Olivé Christian Rose Lili Wang Guofang Wei
+	Modulus of Concavity and Fundamental Gap Estimates on Surfaces	2023	Gabriel Khan Malik Tuerkoen Guofang Wei
+	Probabilistic Method to Fundamental gap problems on the sphere	2023	Gunhee Cho Guofang Wei Guang Yang
+ PDF Chat	Eigenvalue estimates for Kato-type Ricci curvature conditions	2022	Christian Rose Guofang Wei
+ PDF Chat	Examples of Ricci limit spaces with non-integer Hausdorff dimension	2022	Jiayin Pan Guofang Wei
+ PDF Chat	Ancient solutions for flow by powers of the curvature in $${\mathbb {R}}^2$$	2022	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+	Semi-local simple connectedness of non-collapsing Ricci limit spaces	2022	Jiayin Pan Guofang Wei
+	Examples of open manifolds with positive Ricci curvature and non-proper Busemann functions	2022	Jiayin Pan Guofang Wei
+	Ricci Flow and Gromov Almost Flat Manifolds	2022	Eric Chen Guofang Wei Rugang Ye
+	Log-Concavity and Fundamental Gaps on Surfaces of Positive Curvature	2022	Gabriel Khan Xuan Hien Nguyen Malik Tuerkoen Guofang Wei
+	Singular Weyl's law with Ricci curvature bounded below	2022	Xianzhe Dai Shouhei Honda Jiayin Pan Guofang Wei
+ PDF Chat	Improved Relative Volume Comparison for Integral Ricci Curvature and Applications to Volume Entropy	2021	Lina Chen Guofang Wei
+	Ricci flow and a sphere theorem for L/2-pinched Yamabe metrics	2021	Eric Chen Guofang Wei Rugang Ye
+ PDF Chat	The Vanishing of the Fundamental Gap of Convex Domains in $$\mathbb {H}^n$$	2021	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+ PDF Chat	Fundamental gaps of spherical triangles	2021	Shoo Seto Guofang Wei Xuwen Zhu
+	The Fundamental Gap of Horoconvex Domains in ℍ<i>n</i>	2021	Xuan Hien Nguyen Alina Stancu Guofang Wei
+ PDF Chat	Maximal volume entropy rigidity for RCD∗(−(N−1),N) spaces	2021	Chris Connell Xianzhe Dai Jesús Núñez‐Zimbrón Raquel Perales Pablo Suárez‐Serrato Guofang Wei
+ PDF Chat	Explicit fundamental gap estimates for some convex domains in $\mathbb{H}^2$	2021	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+	The fundamental gap of horoconvex domains in $\mathbb H^n$	2021	Xuan Hien Nguyen Alina Stancu Guofang Wei
+ PDF Chat	Fundamental gap estimate for convex domains on sphere — the case $n=2$	2021	Xianzhe Dai Shoo Seto Guofang Wei
+	Examples of Ricci limit spaces with non-integer Hausdorff dimension	2021	Jiayin Pan Guofang Wei
+	Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains	2021	Xavier Ramos Olivé Christian Rose Lili Wang Guofang Wei
+	Universal Covers of Ricci Limit and RCD Spaces	2020	Jiayin Pan Guofang Wei
+ PDF Chat	Rigidity of Minimal Submanifolds in Space Forms	2020	Hang Chen Guofang Wei
+	The vanishing of the fundamental gap of convex domains in $\mathbb H^n$	2020	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+	On the volume of orbifold quotients of symmetric spaces	2020	Ilesanmi Adeboye McKenzie Wang Guofang Wei
+	Fundamental Gap of Convex Domains in the Spheres	2020	Chenxu He Guofang Wei Qi S. Zhang
+	Fundamental gaps of spherical triangles	2020	Shoo Seto Guofang Wei Xuwen Zhu
+	The vanishing of the fundamental gap of convex domains in $\mathbb H^n$	2020	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+	Ancient solutions for flow by powers of the curvature in $\mathbb R^2$	2020	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+ PDF Chat	Zhong–Yang type eigenvalue estimate with integral curvature condition	2019	Xavier Ramos Olivé Shoo Seto Guofang Wei Qi S. Zhang
+	Local Sobolev constant estimate for integral Bakry–Émery Ricci curvature	2019	Lili Wang Guofang Wei
+ PDF Chat	Sharp fundamental gap estimate on convex domains of sphere	2019	Shoo Seto Lili Wang Guofang Wei
+ PDF Chat	Reilly-type inequalities for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e19" altimg="si10.gif"><mml:mi>p</mml:mi></mml:math>-Laplacian on submanifolds in space forms	2019	Hang Chen Guofang Wei
+	Semi-local simple connectedness of non-collapsing Ricci limit spaces	2019	Jiayin Pan Guofang Wei
+	Explicit fundamental gap estimates for some convex domains in $\mathbb H^2$	2019	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+	Zhong-Yang type eigenvalue estimate with integral curvature condition	2018	Xavier Ramos Olivé Shoo Seto Guofang Wei Qi S. Zhang
+	Volume entropy estimate for integral Ricci curvature	2018	Lina Chen Guofang Wei
+	Relative volume comparison for integral Ricci curvature and some applications	2018	Lina Chen Guofang Wei
+	Fundamental gap estimate for convex domains on sphere -- the case $n=2$	2018	Xianzhe Dai Shoo Seto Guofang Wei
+ PDF Chat	Neumann isoperimetric constant estimate for convex domains	2018	Xianzhe Dai Guofang Wei Zhenlei Zhang
+	Reilly-type inequalities for $p$-Laplacian on submanifolds in space forms	2018	Hang Chen Guofang Wei
+	On the volume of orbifold quotients of symmetric spaces	2018	Ilesanmi Adeboye McKenzie Wang Guofang Wei
+	Zhong-Yang type eigenvalue estimate with integral curvature condition	2018	Xavier Ramos Olivé Shoo Seto Guofang Wei Qi S. Zhang
+	Fundamental gap estimate for convex domains on sphere -- the case $n=2$	2018	Xianzhe Dai Shoo Seto Guofang Wei
+	Improved relative volume comparison for integral Ricci curvature and applications to volume entropy	2018	Lina Chen Guofang Wei
+ PDF Chat	Local Sobolev constant estimate for integral Ricci curvature bounds	2017	Xianzhe Dai Guofang Wei Zhenlei Zhang
+	First eigenvalue of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" id="mml1" overflow="scroll"><mml:mi>p</mml:mi></mml:math>-Laplacian under integral curvature condition	2017	Shoo Seto Guofang Wei
+	Fundamental Gap of Convex Domains in the Spheres (with Appendix B by Qi S. Zhang)	2017	Chenxu He Guofang Wei
+	First eigenvalue of the $p$-Laplacian under integral curvature condition	2017	Shoo Seto Guofang Wei
+ PDF Chat	On the universal cover and the fundamental group of an RCD<sup>*</sup>(<i>K</i>,<i>N</i>)-space	2016	Andrea Mondino Guofang Wei
+	Local Sobolev Constant Estimate for Integral Ricci Curvature Bounds	2016	Xianzhe Dai Guofang Wei Zhenlei Zhang
+	Sharp Fundamental Gap Estimate on Convex Domains of Sphere	2016	Shoo Seto Lili Wang Guofang Wei
+	Neumann Isoperimetric Constant Estimate for Convex Domains	2016	Xianzhe Dai Guofang Wei Zhenlei Zhang
+ PDF Chat	Various covering spectra for complete metric spaces	2015	Christina Sormani Guofang Wei
+ PDF Chat	Monotonicity Formulas for the Bakry–Emery Ricci Curvature	2014	Song Bing-yu Guofang Wei Guoqiang Wu
+	On volumes of complex hyperbolic orbifolds	2014	Ilesanmi Adeboye Guofang Wei
+ PDF Chat	On volume growth of gradient steady Ricci solitons	2013	Guofang Wei Peng Wu
+	Math 241A \| Topics in geometry Topology of Manifolds with Ricci Curvature Bounded from Below Course Outline and Information	2013	Guofang Wei
+	Monotonicity Formulas for Bakry-Emery Ricci Curvature	2013	Song Bing-yu Guofang Wei Guoqiang Wu
+ PDF Chat	On volumes of hyperbolic orbifolds	2012	Ilesanmi Adeboye Guofang Wei
+	Various Covering Spectra for Complete Metric Spaces	2012	Christina Sormani Guofang Wei
+	On volumes of complex hyperbolic orbifolds	2012	Ilesanmi Adeboye Guofang Wei
+ PDF Chat	Describing the universal cover of a noncompact limit	2010	John M. Ennis Guofang Wei
+	Rigidity of quasi-Einstein metrics	2010	Jeffrey S. Case Yu-Jen Shu Guofang Wei
+	The cut-off covering spectrum	2009	Christina Sormani Guofang Wei
+ PDF Chat	Comparison geometry for the Bakry-Emery Ricci tensor	2009	Guofang Wei William Wylie
+ PDF Chat	A Neumann Type Maximum Principle for the Laplace Operator on Compact Riemannian Manifolds	2009	Guofang Wei Rugang Ye
+	COMPARISON GEOMETRY FOR THE BAKRY-EMERY	2009	Guofang Wei William Wylie
+	Rigidity of Quasi-Einstein Metrics	2008	Jeffrey S. Case Yujen Shu Guofang Wei
+	Comparison Geometry for Ricci Curvature	2008	Guofang Wei
+	Hitchin–Thorpe inequality for noncompact Einstein 4-manifolds	2007	Xianzhe Dai Guofang Wei
+	Comparison Geometry for the Smooth Metric Measure Spaces	2007	Guofang Wei William Wylie
+ PDF Chat	On the variational stability of Kähler-Einstein metrics	2007	Xianzhe Dai Xiaodong Wang Guofang Wei
+	The Cut-off Covering Spectrum	2007	Christina Sormani Guofang Wei
+	Comparison Geometry for the Bakry-Emery Ricci Tensor	2007	Guofang Wei William Wylie
+	A Neumann Type Maximum Principle for the Laplace Operator on Compact Riemannian Manifolds	2007	Guofang Wei Rugang Ye
+ PDF Chat	Erratum to: "The covering spectrum of a compact length space''	2006	Christina Sormani Guofang Wei
+	Describing the universal cover of a compact limit	2006	John M. Ennis Guofang Wei
+ PDF Chat	Manifolds with a lower Ricci Curvature Bound	2006	Guofang Wei
+	Hitchin-Thorpe Inequality for Noncompact Einstein 4-Manifolds	2006	Xianzhe Dai Guofang Wei
+	Manifolds with A Lower Ricci Curvature Bound	2006	Guofang Wei
+	On the Stability of K\"ahler-Einstein Metrics	2005	Xianzhe Dai Xiaodong Wang Guofang Wei
+ PDF Chat	On the stability of Riemannian manifold with parallel spinors	2005	Xianzhe Dai Xiaodong Wang Guofang Wei
+	On the Stability of Kähler-Einstein Metrics	2005	Xianzhe Dai Xiaodong Wang Guofang Wei
+ PDF Chat	The covering spectrum of a compact length space	2004	Christina Sormani Guofang Wei
+ PDF Chat	A heat kernel lower bound for integral Ricci curvature	2004	Xianzhe Dai Guofang Wei
+	None	2004	Igor Belegradek Guofang Wei
+	Universal covers for Hausdorff limits of noncompact spaces	2003	Christina Sormani Guofang Wei
+	The covering spectrum of a compact length space	2003	Christina Sormani Guofang Wei
+	On the Stability of Riemannian Manifold with Parallel Spinors	2003	Xianzhe Dai Xiaodong Wang Guofang Wei
+ PDF Chat	Metrics of positive Ricci curvature on vector bundles over nilmanifolds	2002	Igor Belegradek Guofang Wei
+	Universal Covers for Hausdorff Limits of Noncompact Spaces	2002	Christina Sormani Guofang Wei
+ PDF Chat	Hausdorff convergence and universal covers	2001	Christina Sormani Guofang Wei
+	Metrics of positive Ricci curvature on bundles	2001	Igor Belegradek Guofang Wei
+	Metrics of positive Ricci curvature on vector bundles over nilmanifolds	2001	Igor Belegradek Guofang Wei
+	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
+	Hausdorff Convergence and Universal Covers	2000	Christina Sormani Guofang Wei
+ PDF Chat	Controlled Geometry via Smoothing	1999	Peter Petersen Guofang Wei R. Ye
+	A Heat Kernel Lower Bound for Integral Ricci Curvature	1998	Xianzhe Dai Guofang Wei
+	Relative Volume Comparison with Integral Curvature Bounds	1997	Peter Petersen Guofang Wei
+	Comparison Geometry with Integral Curvature Bounds	1997	P A Peterson Semion Shteingold Guofang Wei
+ PDF Chat	Ricci curvature and betti numbers	1997	Guofang Wei
+ PDF Chat	Smoothing Riemannian metrics with Ricci curvature bounds	1996	Xianzhe Dai Guofang Wei Rugang Ye
+	A comparison-estimate of Toponogov type for Ricci curvature	1995	Xianzhe Dai Guofang Wei
+	Controlled Geometry via Smoothing	1995	Peter Petersen Guofang Wei Rugang Ye
+	Controlled Geometry via Smoothing	1995	Peter Petersen Guofang Wei Rugang Ye
+	Negative Ricci curvature and isometry group	1994	Xianzhe Dai Zhongmin Shen Guofang Wei
+	Ricci Curvature and Betti Numbers	1994	Guofang Wei
+	Smoothing Riemannian Metrics with Ricci Curvature Bounds	1994	Xianzhe Dai Guofang Wei Rugang Ye
+	Volume growth and finite topological type	1993	Zhong Min Shen Guofang Wei
+ PDF Chat	On the Fundamental Groups of Manifolds with Almost-Nonnegative Ricci Curvature	1990	Guofang Wei
+ PDF Chat	On the fundamental groups of manifolds with almost-nonnegative Ricci curvature	1990	Guofang Wei
+ PDF Chat	Examples of complete manifolds of positive Ricci curvature with nilpotent isometry groups	1988	Guofang Wei

Common Coauthors

Coauthor	Papers Together
Xianzhe Dai	27
Christina Sormani	11
Xuan Hien Nguyen	10
Jiayin Pan	9
Alina Stancu	9
Theodora Bourni	7
Julie Clutterbuck	7
Rugang Ye	7
Valentina‐Mira Wheeler	7
Shoo Seto	7
Shoo Seto	5
Peter Petersen	5
Ilesanmi Adeboye	5
Xiaodong Wang	5
Xavier Ramos Olivé	5
William Wylie	4
Zhenlei Zhang	4
Lina Chen	4
Igor Belegradek	4
Christian Rose	3
Qi S. Zhang	3
Shouhei Honda	3
Hang Chen	3
Guoqiang Wu	2
McKenzie Wang	2
Gabriel Khan	2
Raquel Perales	2
Lili Wang	2
Jesús Núñez‐Zimbrón	2
Pablo Suárez‐Serrato	2
Wenshuai Jiang	2
Malik Tuerkoen	2
Xuwen Zhu	2
Jeffrey S. Case	2
John M. Ennis	2
Chenxu He	2
Chris Connell	2
Song Bing-yu	2
Lili Wang	2
Eric Chen	2
Gunhee Cho	2
Zhong Min Shen	1
Peter Petersen	1
Rugang Ye	1
R. Ye	1
Yu-Jen Shu	1
Lili Wang	1
Guang Yang	1
Changliang Wang	1
Andrea Mondino	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. I	1997	Jeff Cheeger Tobias Colding	27
+ PDF Chat	A note on curvature and fundamental group	1968	John Milnor	22
+	Relative Volume Comparison with Integral Curvature Bounds	1997	Peter Petersen Guofang Wei	22
+ PDF Chat	Examples of complete manifolds of positive Ricci curvature with nilpotent isometry groups	1988	Guofang Wei	18
+ PDF Chat	Integral curvature bounds, distance estimates and applications	1998	Peter Petersen Chadwick Sprouse	16
+ PDF Chat	On complete manifolds with nonnegative Ricci curvature	1990	Uwe Abresch Detlef Gromoll	16
+ PDF Chat	The splitting theorem for manifolds of nonnegative Ricci curvature	1971	Jeff Cheeger Detlef Gromoll	15
+ PDF Chat	Nonnegative Ricci curvature, small linear diameter growth and finite generation of fundamental groups	2000	Christina Sormani	15
+	Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products	1996	Jeff Cheeger Tobias Colding	14
+	Finiteness of π1π1 and geometric inequalities in almost positive Ricci curvature	2007	Erwann Aubry	14
+	Metric Structures for Riemannian and Non-Riemannian Spaces	2007	Mikhael Gromov	14
+ PDF Chat	On loops representing elements of the fundamental group of a complete manifold with nonnegative Ricci curvature	2001	Christina Sormani	13
+	Proof of the fundamental gap conjecture	2011	Ben Andrews Julie Clutterbuck	13
+ PDF Chat	Convergence of riemannian manifolds with integral bounds on curvature. I	1992	Deane Yang	13
+	The entropy formula for the Ricci flow and its geometric applications	2002	Grisha Perelman	12
+	Analysis and geometry on manifolds with integral Ricci curvature bounds. II	2000	Peter Petersen Guofang Wei	12
+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. III	2000	Jeff Cheeger Tobias Colding	11
+ PDF Chat	Hausdorff convergence and universal covers	2001	Christina Sormani Guofang Wei	11
+	A Course in Metric Geometry	2001	Dmitri Burago Yuri Burago S. V. Ivanov	11
+	Convergence and rigidity of manifolds under Ricci curvature bounds	1990	Michael T. Anderson	10
+	Curvature, diameter and betti numbers	1981	Michael Gromov	10
+	Universal covers for Hausdorff limits of noncompact spaces	2003	Christina Sormani Guofang Wei	10
+ PDF Chat	On the geometry of metric measure spaces. II	2006	Karl‐Theodor Sturm	10
+	On the topology of complete manifolds of non-negative Ricci curvature	1990	Michael T. Anderson	10
+	Groups of polynomial growth and expanding maps	1981	Mikhael Gromov	10
+ PDF Chat	Ricci curvature for metric-measure spaces via optimal transport	2009	John Lott Cédric Villani	10
+	Ricci Curvature and Volume Convergence	1997	Tobias Colding	9
+ PDF Chat	Sharp fundamental gap estimate on convex domains of sphere	2019	Shoo Seto Lili Wang Guofang Wei	9
+	Some New Results on Eigenvectors via Dimension, Diameter, and Ricci Curvature	2000	Dominique Bakry Zhongmin Qian	9
+	On fundamental groups of manifolds of nonnegative curvature	2000	Burkhard Wilking	9
+ PDF Chat	Some geometric properties of the Bakry-�mery-Ricci tensor	2003	John Lott	8
+ PDF Chat	Noncompact manifolds with nonnegative Ricci curvature	2006	William Wylie	8
+	A Basic Course in Algebraic Topology	1991	William S. Massey	8
+ PDF Chat	Three-manifolds with positive Ricci curvature	1982	Richard S. Hamilton	8
+	Differential equations on riemannian manifolds and their geometric applications	1975	Sheng Yao Cheng Shing‐Tung Yau	8
+	On the Fundamental Group of Open Manifolds with Nonnegative Ricci Curvature	2003	Sen-Lin Xu Zuoqin Wang Fangyun Yang	8
+	A Lower Bound for the Smallest Eigenvalue of the Laplacian	2015	Jeff Cheeger	8
+ PDF Chat	Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications	2012	Tobias Colding Aaron Naber	7
+ PDF Chat	Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue	2013	Ben Andrews Julie Clutterbuck	7
+	Examples with bounded diameter growth and infinite topological type	2000	X. Menguy	7
+	Eigenvalue comparison theorems and its geometric applications	1975	Shiu‐Yuen Cheng	7
+	On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I	1978	Shing‐Tung Yau	7
+	On manifolds of positive Ricci curvature with large diameter	1991	Yukio Otsu	7
+ PDF Chat	On the Structure of Complete Manifolds of Nonnegative Curvature	1972	Jeff Cheeger Detlef Gromoll	7
+ PDF Chat	A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space	2007	Rafael D. Benguria Helmut Linde	7
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	7
+	A lower bound for the heat kernel	1981	Jeff Cheeger Shing‐Tung Yau	7
+ PDF Chat	The covering spectrum of a compact length space	2004	Christina Sormani Guofang Wei	7
+	Comparison Geometry for the Smooth Metric Measure Spaces	2007	Guofang Wei William Wylie	6
+	Riemannian manifolds with positive mean curvature	1941	S. B. Myers	6