Sobolev inequalities on manifolds with nonnegative Bakry-Émery Ricci curvature

Abstract

In this note we extend a recent result of S. Brendle [3] to Riemannian manifolds with densities and nonnegative Bakry-Émery Ricci curvature.

All comments welcome!

Cited by in corpus (1)

• On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth