Presentation Name: | Rigidity properties of the hypercube via Bakry Emery curvature |
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Presenter🧰: | Christian Florentin Munch |
Date👊: | 2017-03-21 |
Location👃🏻: | 光华东主楼1704 |
Abstract: | We give rigidity results for discrete Bonnet-Myers diameter boundand Lichnerowicz eigenvalue estimate. Both inequalities are sharp ifand only if the underlying graph is a hypercube. The proofs usewell-known semigoup methods as well as new direct methods whichtranslate curvature to combinatorial properties. The results can beseen as first known discrete analogues of Cheng'sand Obata's rigidity theorems. |
Annual Speech Directory: | No.30 |
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