Characterizations of the upper bound of Bakry-Emery curvature

2016/12/12 by Bo Wu, Wu, Bo
Mathematics · Physics and Astronomy · #60D05 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1612.03714

openalex publication_date 2016/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we will present some characterizations for the upper bound of the Bakry-Emery curvature on a Riemannian manifold by using functional inequalities on path space. Moreover, some characterizations for general lower and upper bounds of Ricci curvature are also given, which extends the recent results derived by Naber \citeN and Wang-Wu\citeWW.

Citations

• Remarks on spectral gaps on the Riemannian path space

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