Log-Sobolev inequality on non-convex Riemannian manifolds
type: Item
instance of: scholarly article
title: Log-Sobolev inequality on non-convex Riemannian manifolds
zbMATH Open document ID: 1177.60065
author: Feng-Yu Wang
published in: Advances in Mathematics
publication date: 2009-10-14T00:00:00Z
review text: Let \(M\) be a connected, non-compact, complete Riemannian manifold with boundary \(\partial M\) and dimension \(d\). In this paper, the author proves log-Sobolev inequality on \(M\) with unbounded non-convex boundaries. The second fundamental form and the curvature take very different roles in the study of such inequalities. The author gave several examples to illustrate this point.
reviewed by: Raouf Ghomrasni
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 58J65
zbMATH DE Number: 5614812
zbMATH Keywords: Log-Sobolev inequality
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: curvature
zbMATH Keywords: second fundamental form
Wikidata QID: Q115362110
MaRDI profile type: Publication
full work available at URL: j.aim.2009.06.005
OpenAlex ID: W1973769861
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DOI: 10.1016/J.AIM.2009.06.005
description: scientific article; zbMATH DE number 5614812