Vol. 300, No. 1, 2019
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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.

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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
Authors
Lili Wang
Department of Mathematics
East China Normal University
Shanghai
China
Guofang Wei
Math Department
UC Santa Barbara
Santa Barbara, CA
United States