Topological methods for the prescribed Webster Scalar Curvature problem on CR manifolds
| Autor: | Ridha Yacoub, Mohameden Ould Ahmedou, Hichem Chtioui |
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| Rok vydání: | 2010 |
| Předmět: |
Unit sphere
media_common.quotation_subject Prescribed scalar curvature problem Contact geometry Mathematical analysis Webster scalar curvature Noncompact geometric variational problems Morse lemma Infinity Topology Manifold Morse index Computational Theory and Mathematics Mathematics::Differential Geometry Geometry and Topology Critical point at infinity Topological methods Analysis Scalar curvature media_common Mathematics |
| Zdroj: | Differential Geometry and its Applications. 28(3):264-281 |
| ISSN: | 0926-2245 |
| DOI: | 10.1016/j.difgeo.2009.10.002 |
| Popis: | We consider the existence of contact forms of prescribed Webster scalar curvature on a (2n+1)-dimensional CR compact manifold locally conformally CR equivalent to the standard unit sphere S2n+1 of Cn+1. We give some existence results, using dynamical and topological methods involving the study of the critical points at infinity of the associated noncompact variational problem. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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