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A quadrangle comparison theorem and its application to soul theory for Alexandrov spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cao, Jianguo Mei, Jiaqiang |
| Copyright Year | 2011 |
| 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. |
| Starting Page | 35 |
| Ending Page | 48 |
| Page Count | 14 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s11464-010-0079-4 |
| Volume Number | 6 |
| Alternate Webpage(s) | http://www.nd.edu/~jcao/Paper/quadrangle.pdf |
| Alternate Webpage(s) | http://www.nd.edu/~jcao/Paper/Cao-Dai-Mei-published.pdf |
| Alternate Webpage(s) | http://www.nd.edu/~jcao/Paper/CDM-2010a.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s11464-010-0079-4 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |