Prefer a chat interface with context about you and your work?
Sobolev inequality on manifolds with asymptotically nonnegative Bakry–Émery Ricci curvature
Abstract In this paper, inspired by Brendle (Comm. Pure Appl. Math. 76 (2023), 2192) and Johne (arXiv:2103.08496, 2021), we prove a Sobolev inequality on manifolds with density and asymptotically nonnegative Bakry–Émery Ricci curvature.