The logarithmic Sobolev inequality for a submanifold in Euclidean space

Simon Brendle

Type: Preprint

Publication Date: 2019-01-01

Citations: 1

DOI: https://doi.org/10.48550/arxiv.1908.10360

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	The logarithmic Sobolev inequality for a submanifold in manifold with nonnegative sectional curvature	2021	Chengyang Yi Yu Zheng
+ PDF Chat	The Logarithmic Sobolev Inequality for a Submanifold in Euclidean Space	2020	Simon Brendle
+	The Logarithmic Sobolev Inequality for a Submanifold in Manifolds with Nonnegative Sectional Curvature	2024	Chengyang Yi Yu Zheng
+	The logarithmic Sobolev inequality for a submanifold in manifolds with asymptotically nonnegative sectional curvature	2023	Yuxin Dong Hezi Lin Lingen Lu
+	A Logarithmic Sobolev Inequality for Closed Submanifolds with Constant Length of Mean Curvature Vector	2024	Doanh Pham
+ PDF Chat	A logarithmic Sobolev inequality for closed submanifolds with constant length of mean curvature vector	2024	Doanh Pham
+	The Michael-Simon inequality for manifolds with nonnegative curvature	2020	Simon Brendle
+	Logarithmic Sobolev inequalities on submanifolds of Euclidean space	2000	Klaus Ecker
+	The Log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature	2023	Jihye Lee Fabio Ricci
+	Sobolev inequalities in manifolds with nonnegative curvature	2020	S. Brendle
+	The isoperimetric inequality for a minimal submanifold in Euclidean space	2020	Simon Brendle
+	The isoperimetric inequality for a minimal submanifold in Euclidean space	2019	Simon Brendle
+	The isoperimetric inequality for a minimal hypersurface in Euclidean space	2019	Simon Brendle
+ PDF Chat	Logarithmic-Sobolev inequalities on non-compact Euclidean submanifolds: sharpness and rigidity	2024	Zoltán M. Balogh Alexandru Kristály
+	A Sobolev inequality for Riemannian submanifolds	1975	David Hoffman Joel Spruck
+ PDF Chat	The Log-Sobolev Inequality for a Submanifold in Manifolds With Asymptotic Non-Negative Intermediate Ricci Curvature	2024	Jihye Lee Fabio Ricci
+ PDF Chat	$L^p$-Sobolev inequalities on Euclidean submanifolds	2024	Zoltán M. Balogh Alexandru Kristály Ágnes Mester
+	Sobolev inequalities in manifolds with nonnegative intermediate Ricci curvature	2023	Hui Ma Jing Wu
+	Isoperimetric inequalities for submanifolds with bounded mean curvature	2011	Keomkyo Seo
+ PDF Chat	Sobolev's inequality under a curvature-dimension condition	2021	Louis Dupaigne Ivan Gentil Simon Zugmeyer

Works That Cite This (1)

Action	Title	Year	Authors
+	The relative isoperimetric inequality for minimal submanifolds in the Euclidean space	2020	Lei Liu Guofang Wang Liangjun Weng

Works Cited by This (13)

Action	Title	Year	Authors
+	The entropy formula for the Ricci flow and its geometric applications	2002	Grisha Perelman
+ PDF Chat	Asymptotic behavior for singularities of the mean curvature flow	1990	Gerhard Huisken
+	The Brunn-Minkowski inequality in Gauss space	1975	Christer Borell
+ PDF Chat	Extremal properties of half-spaces for spherically invariant measures	1978	V. N. Sudakov Boris Tsirelson
+ PDF Chat	Inequalities of the Brunn–Minkowski type for Gaussian measures	2007	Christer Borell
+	Submanifolds, isoperimetric inequalities and optimal transportation	2010	Philippe Castillon
+	Sobolev and mean‐value inequalities on generalized submanifolds of R<sup>n</sup>	1973	J. H. Michael L. Simon
+	Logarithmic Sobolev inequalities on submanifolds of Euclidean space	2000	Klaus Ecker
+	On the First Variation of a Varifold	1972	William K. Allard
+	From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities	2000	Sergey G. Bobkov Michel Ledoux