Local Sobolev constant estimate for integral Bakry–Émery Ricci curvature

Lili Wang and Guofang Wei

Vol. 300 (2019), No. 1, 233–256

DOI: 10.2140/pjm.2019.300.233

Abstract

We extend several geometrical results in Dai et al. (2018) for Riemannian manifolds with integral curvature to complete smooth metric measure spaces with integral Bakry–Émery Ricci curvature.

Keywords

integral Bakry–Émery Ricci curvature, isoperimetric constant estimate, Sobolev constant

Mathematical Subject Classification 2010

Primary: 53C23, 53C20

Milestones

Received: 7 March 2018

Revised: 20 June 2018

Accepted: 17 July 2018

Published: 20 July 2019