Log-Sobolev inequality on non-convex Riemannian manifolds (Q734820): Difference between revisions
From MaRDI portal
Created claim: Wikidata QID (P12): Q115362110, #quickstatements; #temporary_batch_1707232231678 |
Set profile property. |
||
| Property / MaRDI profile type | |||
| Property / MaRDI profile type: Publication / rank | |||
Normal rank | |||
Revision as of 01:06, 5 March 2024
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Log-Sobolev inequality on non-convex Riemannian manifolds |
scientific article |
Statements
Log-Sobolev inequality on non-convex Riemannian manifolds (English)
0 references
14 October 2009
0 references
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.
0 references
Log-Sobolev inequality
0 references
Riemannian manifold
0 references
curvature
0 references
second fundamental form
0 references
