Yau's gradient estimates on Alexandrov spaces

2010/12/20 by Zhang, Hui-Chun, Zhu, Xi-Ping · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1012.4233

Abstract

In this paper, we establish a Bochner type formula on Alexandrov spaces with Ricci curvature bounded below. Yau's gradient estimate for harmonic functions is also obtained on Alexandrov spaces.

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