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arxiv: 1012.4233 · v3 · pith:VW23VSUGnew · submitted 2010-12-20 · 🧮 math.DG · math.MG

Yau's gradient estimates on Alexandrov spaces

classification 🧮 math.DG math.MG
keywords alexandrovspacesgradientbelowbochnerboundedcurvatureestablish
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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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