A CR invariant sphere theorem
| Autor: | Case, Jeffrey S., Yang, Paul |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove that every closed, universally embeddable CR three-manifold with nonnegative Yamabe constant and positive total $Q^\prime$-curvature is contact diffeomorphic to a quotient of the standard contact three-sphere. We also prove that every closed, embeddable CR three-manifold with zero Yamabe constant and nonnegative total $Q^\prime$-curvature is CR equivalent to a compact quotient of the Heisenberg group with its flat CR structure. Comment: 11 pages; added references related to the CR Positive Mass Theorem and the CR Yamabe constant of Rossi spheres |
| Databáze: | arXiv |
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