Shouhei Honda

Generating author description...

All published works

Action	Title	Year	Authors
+	Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature	2025	Shouhei Honda Andrea Mondino
+	Spectral distances on RCD spaces	2024	Shouhei Honda
+	Metric measure spaces with Ricci bounds from below	2024	Shouhei Honda
+ PDF Chat	Gap phenomena under curvature restrictions	2024	Shouhei Honda Andrea Mondino
+	Gromov–Hausdorff stability of tori under Ricci and integral scalar curvature bounds	2024	Shouhei Honda C. Ketterer Ilaria Mondello Raquel Perales Chiara Rigoni
+	A characterization of non-collapsed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="normal">RCD</mml:mi><mml:mo>(</mml:mo><mml:mi>K</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> spaces via Einstein tensors	2024	Shouhei Honda Xingyu Zhu
+ PDF Chat	Poincar\'e inequality for one forms on four manifolds with bounded Ricci curvature	2024	Shouhei Honda Andrea Mondino
+ PDF Chat	Locally homogeneous RCD spaces	2024	Shouhei Honda Artem Nepechiy
+ PDF Chat	Almost rigidity results of Green functions with non-negative Ricci curvature	2024	Shouhei Honda
+	Sharp gradient estimate, rigidity and almost rigidity of Green functions on non-parabolic RCD(0, <i>N</i>) spaces	2024	Shouhei Honda Yuanlin Peng
+	Sharp gradient estimate, rigidity and almost rigidity of Green functions on non-parabolic RCD(0, <i>N</i>) spaces	2024	Shouhei Honda Yuanlin Peng
+ 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	Sobolev Mappings Between RCD Spaces and Applications to Harmonic Maps: A Heat Kernel Approach	2023	Shouhei Honda Yannick Sire
+	Spectral distances on RCD spaces	2023	Shouhei Honda
+	Sharp gradient estimate, rigidity and almost rigidity of Green functions on non-parabolic $\mathrm{RCD}(0,N)$ spaces	2023	Shouhei Honda Yuanlin Peng
+	Gromov-Hausdorff stability of tori under Ricci and integral scalar curvature bounds	2023	Shouhei Honda C. Ketterer Ilaria Mondello Raquel Perales Chiara Rigoni
+	Weakly non-collapsed RCD spaces are strongly non-collapsed	2022	Camillo Brena Nicola Gigli Shouhei Honda Xingyu Zhu
+	A note on the topological stability theorem from $${{\,\textrm{RCD}\,}}$$ spaces to Riemannian manifolds	2022	Shouhei Honda Yuanlin Peng
+	A note on the topological stability theorem from RCD spaces to Riemannian manifolds	2022	Shouhei Honda Yuanlin Peng
+	Singular Weyl's law with Ricci curvature bounded below	2022	Xianzhe Dai Shouhei Honda Jiayin Pan Guofang Wei
+ PDF Chat	Isometric immersions of RCD spaces	2021	Shouhei Honda
+ PDF Chat	Density and non-density of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si14.svg"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msubsup><mml:mo>↪</mml:mo><mml:msup><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>on complete manifolds with curvature …	2021	Shouhei Honda Luciano Mari Michele Rimoldi Giona Veronelli
+	Embedding of RCD⁎(K,N) spaces in L2 via eigenfunctions	2021	Luigi Ambrosio Shouhei Honda Jacobus W. Portegies David Tewodrose
+	Sobolev mappings between RCD spaces and applications to harmonic maps: a heat kernel approach	2021	Shouhei Honda Yannick Sire
+	Weakly non-collapsed RCD spaces are strongly non-collapsed	2021	Camillo Brena Nicola Gigli Shouhei Honda Xingyu Zhu
+	Rigidity for positive Ricci curvature via metric measure geometry	2020	Shouhei Honda
+ PDF Chat	New differential operator and noncollapsed RCD spaces	2020	Shouhei Honda
+ PDF Chat	Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces	2020	Shouhei Honda
+	Sphere theorems for RCD and stratified spaces	2020	Shouhei Honda Ilaria Mondello
+	Isometric immersions of RCD spaces	2020	Shouhei Honda
+	A characterization of non-collapsed $RCD(K, N)$ spaces via Einstein tensors	2020	Shouhei Honda Xingyu Zhu
+	Density and non-density of $C^\infty_c \hookrightarrow W^{k,p}$ on complete manifolds with curvature bounds	2020	Shouhei Honda Luciano Mari Michele Rimoldi Giona Veronelli
+	A note on the collapsing geometry of hyperkähler four manifolds	2019	Shouhei Honda Song Sun Ruobing Zhang
+ PDF Chat	SPHERE THEOREMS FOR RCD SPACES	2019	Shouhei Honda Ilaria Mondello
+	On the spaces with Ricci curvature bounds	2019	Shouhei Honda
+	Sphere theorems for RCD and stratified spaces	2019	Shouhei Honda Ilaria Mondello
+	Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions	2018	Luigi Ambrosio Shouhei Honda Jacobus W. Portegies David Tewodrose
+ PDF Chat	Bakry-Émery Conditions on Almost Smooth Metric Measure Spaces	2018	Shouhei Honda
+ PDF Chat	Elliptic PDEs on Compact Ricci Limit Spaces and Applications	2018	Shouhei Honda
+	Continuity of nonlinear eigenvalues in $${{\mathrm{CD}}}(K,\infty )$$ CD ( K , ∞ ) spaces with respect to measured Gromov–Hausdorff convergence	2018	Luigi Ambrosio Shouhei Honda Jacobus W. Portegies
+	Bakry-Émery conditions on almost smooth metric measure spaces	2018	Shouhei Honda
+	Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions	2018	Luigi Ambrosio Shouhei Honda Jacobus W. Portegies David Tewodrose
+ PDF Chat	Ricci curvature and orientability	2017	Shouhei Honda
+	Short-time behavior of the heat kernel and Weyl’s law on $${{\mathrm{RCD}}}^*(K,N)$$ RCD ∗ ( K , N ) spaces	2017	Luigi Ambrosio Shouhei Honda David Tewodrose
+	New stability results for sequences of metric measure spaces with uniform Ricci bounds from below	2017	Luigi Ambrosio Shouhei Honda
+	Spectral convergence under bounded Ricci curvature	2017	Shouhei Honda
+	Local spectral convergence in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mstyle mathvariant="normal"><mml:mi>RCD</mml:mi></mml:mstyle></mml:mrow><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>K</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>spaces	2017	Luigi Ambrosio Shouhei Honda
+	Continuity of nonlinear eigenvalues in $CD(K,\infty)$ spaces with respect to measured Gromov-Hausdorff convergence	2017	Luigi Ambrosio Shouhei Honda Jacobus W. Portegies
+	Local spectral convergence in $RCD^*(K,N)$ spaces	2017	Luigi Ambrosio Shouhei Honda
+	Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K, N)$-spaces	2017	Luigi Ambrosio Shouhei Honda David Tewodrose
+ PDF Chat	Fano–Ricci limit spaces and spectral convergence	2017	Akito Futaki Shouhei Honda Shunsuke Saito
+	Ricci curvature and Orientability	2016	Shouhei Honda
+	New stability results for sequences of metric measure spaces with uniform Ricci bounds from below	2016	Luigi Ambrosio Shouhei Honda
+	Harmonic functions on asymptotic cones with Euclidean volume growth	2015	Shouhei Honda
+	Fano-Ricci limit spaces and spectral convergence	2015	Akito Futaki Shouhei Honda Shunsuke Saito
+	Spectral convergence under bounded Ricci curvature	2015	Shouhei Honda
+	Elliptic PDEs on compact Ricci limit spaces and applications	2014	Shouhei Honda
+ PDF Chat	A weakly second-order differential structure on rectifiable metric measure spaces	2014	Shouhei Honda
+	Elliptic PDEs on compact Ricci limit spaces and applications	2014	Shouhei Honda
+	L p -Spectral Gap and Gromov-Hausdorff Convergence	2014	Shouhei Honda
+ PDF Chat	Ricci curvature and <i>L<sup>p</sup> </i>-convergence	2013	Shouhei Honda
+	On low-dimensional Ricci limit spaces	2013	Shouhei Honda
+ PDF Chat	On low-dimensional Ricci limit spaces	2013	Shouhei Honda
+	Cheeger constant, $p$-Laplacian, and Gromov-Hausdorff convergence	2013	Shouhei Honda
+	Ricci curvature and $L^p$-convergence	2012	Shouhei Honda
+	Ricci curvature and $L^p$-convergence	2012	Shouhei Honda
+ PDF Chat	Bishop-Gromov type inequality on Ricci limit spaces	2011	Shouhei Honda
+ PDF Chat	Ricci curvature and convergence of Lipschitz functions	2011	Shouhei Honda
+	Ricci curvature and convergence of Lipschitz functions	2010	Shouhei Honda
+ PDF Chat	Ricci curvature and almost spherical multi-suspension	2009	Shouhei Honda

Common Coauthors

Coauthor	Papers Together
Luigi Ambrosio	9
David Tewodrose	5
Ilaria Mondello	5
Yuanlin Peng	5
Jacobus W. Portegies	5
Xingyu Zhu	4
Xianzhe Dai	3
Jiayin Pan	3
Andrea Mondino	3
Guofang Wei	3
Camillo Brena	2
Akito Futaki	2
Raquel Perales	2
Nicola Gigli	2
Luciano Mari	2
Shunsuke Saito	2
C. Ketterer	2
Chiara Rigoni	2
Michele Rimoldi	2
Giona Veronelli	2
Luigi Ambrosio	2
Yannick Sire	2
Ruobing Zhang	1
Song Sun	1
Artem Nepechiy	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	47
+ PDF Chat	On the geometry of metric measure spaces. II	2006	Karl‐Theodor Sturm	39
+ PDF Chat	Ricci curvature for metric-measure spaces via optimal transport	2009	John Lott Cédric Villani	36
+	Differentiability of Lipschitz Functions on Metric Measure Spaces	1999	Jeff Cheeger	33
+	Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products	1996	Jeff Cheeger Tobias Colding	31
+ PDF Chat	On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces	2014	Matthias Erbar Kazumasa Kuwada Karl-Theodor Sturm	29
+	Collapsing of Riemannian manifolds and eigenvalues of Laplace operator	1987	Kenji Fukaya	27
+ PDF Chat	Ricci curvature and <i>L<sup>p</sup> </i>-convergence	2013	Shouhei Honda	27
+ PDF Chat	Metric measure spaces with Riemannian Ricci curvature bounded from below	2014	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	26
+ PDF Chat	On the differential structure of metric measure spaces and applications	2014	Nicola Gigli	23
+ PDF Chat	Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows	2015	Nicola Gigli Andrea Mondino Giuseppe Savaré	23
+	Ricci Curvature and Volume Convergence	1997	Tobias Colding	22
+ PDF Chat	Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications	2012	Tobias Colding Aaron Naber	22
+ PDF Chat	Local Poincaré inequalities from stable curvature conditions on metric spaces	2011	Tapio Rajala	22
+ PDF Chat	Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below	2013	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	22
+ PDF Chat	Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry	2003	Kazuhiro Kuwae Takashi Shioya	21
+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. III	2000	Jeff Cheeger Tobias Colding	20
+ PDF Chat	Heat kernels and Green’s functions on limit spaces	2002	Yu Ding	19
+ PDF Chat	On the geometry of metric measure spaces	2006	Karl‐Theodor Sturm	18
+ PDF Chat	Ricci curvature and convergence of Lipschitz functions	2011	Shouhei Honda	17
+ PDF Chat	Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below	2017	Luigi Ambrosio Andrea Mondino Giuseppe Savaré	16
+ PDF Chat	Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces	2019	Luigi Ambrosio Andrea Mondino Giuseppe Savaré	16
+	Local spectral convergence in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mstyle mathvariant="normal"><mml:mi>RCD</mml:mi></mml:mstyle></mml:mrow><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>K</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>spaces	2017	Luigi Ambrosio Shouhei Honda	16
+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. II	2000	Jeff Cheeger Tobias Colding	15
+	Cheeger-harmonic functions in metric measure spaces revisited	2013	Renjin Jiang	15
+ PDF Chat	Non-collapsed spaces with Ricci curvature bounded from below	2018	Guido De Philippis Nicola Gigli	14
+	New stability results for sequences of metric measure spaces with uniform Ricci bounds from below	2017	Luigi Ambrosio Shouhei Honda	14
+ PDF Chat	Constancy of the Dimension for RCD(<i>K</i>,<i>N</i>) Spaces via Regularity of Lagrangian Flows	2019	Elia Bruè Daniele Semola	14
+ PDF Chat	Newtonian spaces: An extension of Sobolev spaces to metric measure spaces	2000	Nageswari Shanmugalingam	14
+ PDF Chat	Structure theory of metric measure spaces with lower Ricci curvature bounds	2019	Andrea Mondino Aaron Naber	14
+	Cones over metric measure spaces and the maximal diameter theorem	2014	C. Ketterer	13
+ PDF Chat	Heat Kernel Bounds on Metric Measure Spaces and Some Applications	2015	Renjin Jiang Huaiqian Li Hui-Chun Zhang	13
+	Metric Structures for Riemannian and Non-Riemannian Spaces	2007	Mikhael Gromov	13
+	Embedding Riemannian manifolds by their heat kernel	1994	Pierre Bérard Gérard Besson Sylvestre Gallot	13
+ PDF Chat	On the Bakry–Émery Condition, the Gradient Estimates and the Local-to-Global Property of $$\mathsf{RCD}^*(K,N)$$ RCD ∗ ( K , N ) Metric Measure Spaces	2014	Luigi Ambrosio Andrea Mondino Giuseppe Savaré	13
+	CALCULUS, HEAT FLOW AND CURVATURE-DIMENSION BOUNDS IN METRIC MEASURE SPACES	2019	Luigi Ambrosio	13
+ PDF Chat	New differential operator and noncollapsed RCD spaces	2020	Shouhei Honda	12
+	Short-time behavior of the heat kernel and Weyl’s law on $${{\mathrm{RCD}}}^*(K,N)$$ RCD ∗ ( K , N ) spaces	2017	Luigi Ambrosio Shouhei Honda David Tewodrose	12
+	The splitting theorem in non-smooth context	2013	Nicola Gigli	12
+	Optimal Transport: Old and New	2013	Cédric Villani	11
+	Geometric Measure Theory	1988	Herbert Fédérer	11
+	Weak and strong convergence of derivations and stability of flows with respect to MGH convergence	2016	Luigi Ambrosio Federico Stra Dario Trevisan	11
+	Nonsmooth Differential Geometry: An Approach Tailored for Spaces With Ricci Curvature Bounded from Below	2017	Nicola Gigli	11
+	The Li–Yau inequality and heat kernels on metric measure spaces	2014	Renjin Jiang	11
+	Differential equations on riemannian manifolds and their geometric applications	1975	Sheng Yao Cheng Shing‐Tung Yau	11
+	A Course in Metric Geometry	2001	Dmitri Burago Yuri Burago S. V. Ivanov	10
+	Analysis on local Dirichlet spaces. II. Upper Gaussian estimates for the fundamental solutions of parabolic equations	1995	Karl‐Theodor Sturm	10
+ PDF Chat	The Riemannian structure of Alexandrov spaces	1994	Yukio Otsu Takashi Shioya	10
+ PDF Chat	The globalization theorem for the Curvature-Dimension condition	2021	Fabio Cavalletti Emanuel Milman	9
+ PDF Chat	A weakly second-order differential structure on rectifiable metric measure spaces	2014	Shouhei Honda	9