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math.DG2010★ 2 cited
Yau's gradient estimates on Alexandrov spaces
Hui-Chun Zhang, Xi-Ping Zhu
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 Alexa…
math.DG2010★ 4 cited
On a new definition of Ricci curvature on Alexandrov spaces
Hui-Chun Zhang, Xi-Ping Zhu
Recently, in [49], a new definition for lower Ricci curvature bounds on Alexandrov spaces was introduced by the authors. In this article, we extend our research to summarize the ge…