The Webster scalar curvature problem on higher dimensional CR compact manifolds

Hichem Chtioui

doi:10.1016/j.crma.2007.05.006

Partial Differential Equations

The Webster scalar curvature problem on higher dimensional CR compact manifolds
[Le problème de la courbure scalaire de Webster sur les variétés CR]

Présenté par : Thierry Aubin

Hichem Chtioui ¹

¹ Département de mathématiques, faculté des sciences de Sfax, route Soukra, 3018 Sfax, Tunisia

Comptes Rendus. Mathématique, Volume 345 (2007) no. 1, pp. 11-13.

Résumé
Abstract

Par des arguments topologiques introduits par Aubin–Bahri (1997), nous donnons quelques résultats d'existence pour le problème de la courbure scalaire de Webster sur les variétés CR de dimension $2 n + 1$ localement conformément CR equivalent à la sphère unité $S^{2 n + 1}$ de $C^{n + 1}$ .

Using a topological arguments due to Aubin–Bahri (1997), we give some existence results for the Webster scalar curvature problem on the $2 n + 1$ dimensional CR compact manifolds locally conformally CR equivalent to the unit sphere $S^{2 n + 1}$ of $C^{n + 1}$ .

Reçu le : 2006-11-07
Accepté le : 2007-05-13
Publié le : 2007-07-01

DOI : 10.1016/j.crma.2007.05.006

Affiliations des auteurs :

Hichem Chtioui ¹

¹ Département de mathématiques, faculté des sciences de Sfax, route Soukra, 3018 Sfax, Tunisia

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     title = {The {Webster} scalar curvature problem on higher dimensional {CR} compact manifolds},
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     doi = {10.1016/j.crma.2007.05.006},
     language = {en},
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Hichem Chtioui. The Webster scalar curvature problem on higher dimensional CR compact manifolds. Comptes Rendus. Mathématique, Volume 345 (2007) no. 1, pp. 11-13. doi : 10.1016/j.crma.2007.05.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.05.006/

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