ON A NEW DEFINITION OF RICCI CURVATURE ON ALEXANDROV SPACES |
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| Authors: | Zhang Huichun Zhu Xiping |
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| Institution: | Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China |
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| Abstract: | 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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| Keywords: | Alexandrov spaces Ricci curvature volume comparison heat kernel |
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