Yau's gradient estimates on Alexandrov spaces
Differential Geometry
2012-03-06 v3 Metric Geometry
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.
Cite
@article{arxiv.1012.4233,
title = {Yau's gradient estimates on Alexandrov spaces},
author = {Hui-Chun Zhang and Xi-Ping Zhu},
journal= {arXiv preprint arXiv:1012.4233},
year = {2012}
}
Comments
Final version, to appear in J. Differential Geom