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On a new definition of Ricci curvature on Alexandrov spaces

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 نشر من قبل Hui-Chun Zhang
 تاريخ النشر 2010
  مجال البحث
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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 geometric and analytic results under this Ricci condition. In particular, two new results, the rigidity result of Bishop-Gromov volume comparison and Lipschitz continuity of heat kernel, are obtained.



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