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A quadrangle comparison theorem and its application to soul theory for Alexandrov spaces |
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| Authors: | Jianguo Cao Bo Dai Jiaqiang Mei |
| Institution: | 1. Department of Mathematics, University of Notre Dame, Notre Dame, IN, 46556, USA 2. Department of Mathematics, Nanjing University, Nanjing, 210093, China 3. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China 4. Institute of Mathematical Science, Nanjing University, Nanjing, 210093, China |
| Abstract: | We shall derive two sufficient conditions for complete finite-dimensional Alexandrov spaces of nonnegative curvature to be contractible. One of the new technical tools used in our proof is a quadrangle comparison theorem inspired by Perelman. |
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