Yohei Sakurai

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All published works

Action	Title	Year	Authors
+ PDF Chat	Geometric analysis on weighted manifolds under lower $0$-weighted Ricci curvature bounds	2024	Yasuaki Fujitani Yohei Sakurai
+	Liouville theorem for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si19.svg" display="inline" id="d1e23"><mml:mi>V</mml:mi></mml:math>-harmonic maps under non-negative <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si20.svg" display="inline" id="d1e28"><mml:mrow><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>V</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-Ricci curvature for non-positive <mml:math xmlns:mml="http://www.w3.org/1998/Math/…	2023	Kazuhiro Kuwae Songzi Li Xiang‐Dong Li Yohei Sakurai
+	Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in $${\text {CAT}}(1)$$ spaces	2023	Yohei Sakurai
+	Lower N-weighted Ricci curvature bound with 𝜀-range and displacement convexity of entropies	2023	Kazuhiro Kuwae Yohei Sakurai
+	Liouville theorem for $V$-harmonic maps under non-negative $(m, V)$-Ricci curvature for non-positive $m$	2023	Kazuhiro Kuwae Songzi Li Xiang‐Dong Li Yohei Sakurai
+	Almost splitting and quantitative stratification for super Ricci flow	2023	Keita Kunikawa Yohei Sakurai
+ PDF Chat	Maximal diameter theorem for directed graphs of positive Ricci curvature	2023	Ryunosuke Ozawa Yohei Sakurai Taiki Yamada
+ PDF Chat	Hamilton-type entropy formula along the Ricci flow on surfaces with boundary	2023	Keita Kunikawa Yohei Sakurai
+ PDF Chat	Comparison geometry of manifolds with boundary under lower $N$-weighted Ricci curvature bounds with $\varepsilon$-range	2022	Kazuhiro Kuwae Yohei Sakurai
+ PDF Chat	Heat Flow and Concentration of Measure on Directed Graphs with a Lower Ricci Curvature Bound	2022	Ryunosuke Ozawa Yohei Sakurai Taiki Yamada
+	Orthogonality Relation in the Summand of the Riemann Zeta Function	2022	S. Kuwata Yohei Sakurai
+	Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow	2022	Keita Kunikawa Yohei Sakurai
+	Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in $\CAT(1)$ spaces	2022	Yohei Sakurai
+	Rigidity phenomena on lower N-weighted Ricci curvature bounds with ε-range for nonsymmetric Laplacian	2021	Kazuhiro Kuwae Yohei Sakurai
+ PDF Chat	One dimensional weighted Ricci curvature and displacement convexity of entropies	2021	Yohei Sakurai
+	Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition	2021	Keita Kunikawa Yohei Sakurai
+ PDF Chat	Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry	2021	Keita Kunikawa Yohei Sakurai
+ PDF Chat	Liouville Theorem for Heat Equation Along Ancient Super Ricci Flow Via Reduced Geometry	2021	Keita Kunikawa Yohei Sakurai
+ PDF Chat	Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry	2021	Keita Kunikawa Yohei Sakurai
+	Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry	2021	Keita Kunikawa Yohei Sakurai
+	Comparison geometry of manifolds with boundary under lower N-weighted Ricci curvature bounds with ε-range	2020	Kazuhiro Kuwae Yohei Sakurai
+ PDF Chat	Geometric and spectral properties of directed graphs under a lower Ricci curvature bound	2020	Ryunosuke Ozawa Yohei Sakurai Taiki Yamada
+	Liouville theorem for heat equation along ancient super Ricci flow via reduced geometry	2020	Keita Kunikawa Yohei Sakurai
+	Rigidity phenomena on lower $N$-weighted Ricci curvature bounds with $\varepsilon$-range for non-symmetric Laplacian	2020	Kazuhiro Kuwae Yohei Sakurai
+	Hamilton type entropy formula along the Ricci flow on surfaces with boundary	2020	Keita Kunikawa Yohei Sakurai
+	Maximal diameter theorem for directed graphs of positive Ricci curvature	2020	Ryunosuke Ozawa Yohei Sakurai Taiki Yamada
+	Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition	2020	Keita Kunikawa Yohei Sakurai
+	Comparison geometry of manifolds with boundary under lower $N$-weighted Ricci curvature bounds with $\varepsilon$-range	2020	Kazuhiro Kuwae Yohei Sakurai
+	Lower $N$-weighted Ricci curvature bound with $\varepsilon$-range and displacement convexity of entropies	2020	Kazuhiro Kuwae Yohei Sakurai
+	Heat flow and concentration of measure on directed graphs with a lower Ricci curvature bound	2020	Ryunosuke Ozawa Yohei Sakurai Taiki Yamada
+	Upper bounds for higher-order Poincaré constants	2019	Kei Funano Yohei Sakurai
+	Upper bounds for higher-order Poincar'e constant	2019	Kei Funano Yohei Sakurai
+ PDF Chat	Rigidity of manifolds with boundary under a lower Bakry-Émery Ricci curvature bound	2019	Yohei Sakurai
+	Geometric and spectral properties of directed graphs under a lower Ricci curvature bound	2019	Ryunosuke Ozawa Yohei Sakurai Taiki Yamada
+	Thermodynamic interpretation of Wasserstein distance	2019	Andreas Dechant Yohei Sakurai
+	Upper bounds for higher-order Poincar'e constants	2019	Kei Funano Yohei Sakurai
+ PDF Chat	Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold	2018	Kei Funano Yohei Sakurai
+ PDF Chat	Comparison Geometry of Manifolds with Boundary under a Lower Weighted Ricci Curvature Bound	2018	Yohei Sakurai
+ PDF Chat	Rigidity Phenomena in Manifolds with Boundary Under a Lower Weighted Ricci Curvature Bound	2018	Yohei Sakurai
+	One dimensional weighted Ricci curvature and displacement convexity of entropies	2017	Yohei Sakurai
+	Concentration of $1$-Lipschitz functions on manifolds with boundary with Dirichlet boundary condition	2017	Yohei Sakurai
+	Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold	2017	Kei Funano Yohei Sakurai
+	Rigidity of manifolds with boundary under a lower Ricci curvature bound	2017	Yohei Sakurai
+	Rigidity phenomena in manifolds with boundary under a lower weighted Ricci curvature bound	2016	Yohei Sakurai
+	Comparison geometry of manifolds with boundary under a lower weighted Ricci curvature bound	2016	Yohei Sakurai
+	Rigidity of manifolds with boundary under a lower Bakry-E'mery Ricci curvature bound	2015	Yohei Sakurai
+	Rigidity of manifolds with boundary under a lower Ricci curvature bound	2014	Yohei Sakurai

Common Coauthors

Coauthor	Papers Together
Keita Kunikawa	11
Kazuhiro Kuwae	9
Ryunosuke Ozawa	6
Kei Funano	5
Taiki Yamada	4
Songzi Li	2
Xiang‐Dong Li	2
Taiki Yamada	2
Yasuaki Fujitani	1
Andreas Dechant	1
S. Kuwata	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Some geometric properties of the Bakry-�mery-Ricci tensor	2003	John Lott	15
+ PDF Chat	Comparison geometry for the Bakry-Emery Ricci tensor	2009	Guofang Wei William Wylie	15
+ PDF Chat	A general comparison theorem with applications to volume estimates for submanifolds	1978	Ernst Heintze Hermann Karcher	13
+	A warped product version of the Cheeger-Gromoll splitting theorem	2016	William Wylie	12
+	Optimal Transport: Old and New	2013	Cédric Villani	11
+ PDF Chat	On the geometry of metric measure spaces. II	2006	Karl‐Theodor Sturm	10
+ PDF Chat	Ricci curvature for metric-measure spaces via optimal transport	2009	John Lott Cédric Villani	10
+ PDF Chat	(K, N)-Convexity and the Curvature-Dimension Condition for Negative N	2015	Shin‐ichi Ohta	10
+	A warped product splitting theorem	1992	Christopher B. Croke Bruce Kleiner	9
+ PDF Chat	Ricci curvature, geodesics and some geometric properties of Riemannian manifolds with boundary	1983	Atsushi Kasue	9
+ PDF Chat	Beyond traditional Curvature-Dimension I: New model spaces for isoperimetric and concentration inequalities in negative dimension	2015	Emanuel Milman	9
+	An extension of E. Hopf’s maximum principle with an application to Riemannian geometry	1958	Eugenio Calabi	8
+ PDF Chat	Comparison Geometry of Manifolds with Boundary under a Lower Weighted Ricci Curvature Bound	2018	Yohei Sakurai	8
+	A Course in Metric Geometry	2001	Dmitri Burago Yuri Burago S. V. Ivanov	7
+ PDF Chat	Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature	2009	Fuquan Fang Xiang‐Dong Li Zhenlei Zhang	7
+ PDF Chat	Diffusions hypercontractives	1985	Dominique Bakry Michel Émery	7
+	Riemannian geometry	1996	Takashi Sakai	7
+ PDF Chat	Rigidity Theorems for Diameter Estimates of Compact Manifold with Boundary	2014	H. Li Yong Wei	6
+	Displacement convexity of generalized relative entropies	2011	Shin-ichi Ohta Asuka Takatsu	6
+	Hamilton differential Harnack inequality and W-entropy for Witten Laplacian on Riemannian manifolds	2017	Songzi Li Xiang‐Dong Li	6
+ PDF Chat	The Concentration of Measure Phenomenon	2005	Michel Ledoux	6
+	The Splitting Theorem and topology of noncompact spaces with nonnegative N-Bakry Émery Ricci curvature	2020	Alice Lim	6
+	A Picone's identity for the p-Laplacian and applications	1998	W. Allegretto Huang Xi	6
+ PDF Chat	Rigidity for the isoperimetric inequality of negative effective dimension on weighted Riemannian manifolds	2018	Cong Hung	6
+	Regularity for a more general class of quasilinear elliptic equations	1984	Peter Tolksdorf	6
+ PDF Chat	Weak curvature conditions and functional inequalities	2007	John Lott Cédric Villani	6
+	Rigidity of manifolds with boundary under a lower Ricci curvature bound	2017	Yohei Sakurai	5
+ PDF Chat	The splitting theorem for manifolds of nonnegative Ricci curvature	1971	Jeff Cheeger Detlef Gromoll	5
+ PDF Chat	On Harnack inequalities for Witten Laplacian on Riemannian manifolds with super Ricci flows	2018	Songzi Li Xiang‐Dong Li	5
+ PDF Chat	Needle Decompositions in Riemannian Geometry	2017	Bo’az Klartag	5
+ PDF Chat	On the geometry of metric measure spaces	2006	Karl‐Theodor Sturm	5
+ PDF Chat	A Laplacian comparison theorem and function theoretic properties of a complete Riemannian manifold	1982	Atsushi Kasue	5
+	A Topological Application of the Isoperimetric Inequality	1983	M. Gromov Vitali Milman	5
+	Optimal Transport	2008	Cédric Villani	5
+ PDF Chat	Applications of Laplacian and Hessian Comparison Theorems	2018	Atsushi Kasue	5
+ PDF Chat	SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS	2006	Philippe Souplet Qi S. Zhang	5
+	On the geometry of Riemannian manifolds with density	2016	William Wylie Dmytro Yeroshkin	5
+ PDF Chat	Three-manifolds with positive Ricci curvature	1982	Richard S. Hamilton	5
+ PDF Chat	Ricci curvature of graphs	2011	Yong Lin Linyuan Lü Shing‐Tung Yau	4
+	Heat Flow on Time‐Dependent Metric Measure Spaces and Super‐Ricci Flows	2018	Eva Kopfer Karl‐Theodor Sturm	4
+ PDF Chat	Displacement convexity of generalized relative entropies. II	2013	Shin-ichi Ohta Asuka Takatsu	4
+ PDF Chat	A Sharp Comparison Theorem for Compact Manifolds with Mean Convex Boundary	2012	Martin Man‐chun Li	4
+	λ1, Isoperimetric inequalities for graphs, and superconcentrators	1985	Noga Alon Vitali Milman	4
+	Ricci curvature of Markov chains on metric spaces	2008	Yann Ollivier	4
+	Harmonic functions on complete riemannian manifolds	1975	Shing‐Tung Yau	4
+	Concentration of $1$-Lipschitz functions on manifolds with boundary with Dirichlet boundary condition	2017	Yohei Sakurai	4
+ PDF Chat	On the $l$-function and the reduced volume of Perelman I	2007	Rugang Ye	4
+ PDF Chat	The Diameter and Laplacian Eigenvalues of Directed Graphs	2006	Fan Chung	4
+	Characterizations of the Ricci flow	2018	Robert Haslhofer Aaron Naber	4
+	The Ricci Flow in Riemannian Geometry	2010	Ben Andrews Christopher Hopper	4