Yau's gradient estimates on Alexandrov spaces

Details Yau's gradient estimates on Alexandrov spaces Yau's gradient estimates on Alexandrov spaces

2010-12-20

arxiv.org/abs/1012.4233v3

Mathematics

Differential Geometry

Final version, to appear in J. Differential Geom

Scientific paper

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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