Yau's gradient estimates on Alexandrov spaces

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.

Final version, to appear in J. Differential Geom

References in corpus (2)

• Laplacian comparison for Alexandrov spaces
• Sharp Spectral Gap and Li-Yau's Estimate on Alexandrov Spaces

Cited by in corpus (1)

• Sharp Spectral Gap and Li-Yau's Estimate on Alexandrov Spaces