Tag Archives: Sharp Sobolev inequalities

Manifolds with nonnegative Ricci curvature and Sobolev inequalities

The main object of this post is the following nice result due to Michel Ledoux: Let be a complete dimensional Riemannian manifold with nonnegative Ricci curvature. If the following Sobolev inequality for some with and is the best constant in … Continue reading

Posted in Analysis, Differential Geometry, Functional inequalities, Uncategorized | Tagged , , | 1 Comment