Geodesic
Existence results for the prescribed Scalar curvature on S 3
[Résultats d’existence pour la courbure scalaire prescrite sur S 3 ]
Mahmoud, Randa Ben1 ; Chtioui, Hichem
1 Faculté des Sciences de Sfax Département de Mathématiques Route Soukra 3018 Sfax (Tunisie)
Annales de l'Institut Fourier, Tome 61 (2011) no. 3, pp. 971-986.

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This paper is devoted to the existence of conformal metrics on S 3 with prescribed scalar curvature. We extend well known existence criteria due to Bahri-Coron.

Ce papier est consacré à l’existence des métriques conforme sur S 3 avec courbure scalaire prescrite. Nous étendons les critères d’existence bien connus de Bahri-Coron.

DOI : 10.5802/aif.2634
Classification : 58E05, 35J65, 35C21, 35B40
Keywords: Scalar curvature, critical points at infinity, topological method
Mots-clés : courbure scalaire, points critiques à l’infini, méthode topologique

Mahmoud, Randa Ben 1 ; Chtioui, Hichem 

1 Faculté des Sciences de Sfax Département de Mathématiques Route Soukra 3018 Sfax (Tunisie) 
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Mahmoud, Randa Ben; Chtioui, Hichem. Existence results for the prescribed Scalar curvature on $S^{3}$. Annales de l'Institut Fourier, Tome 61 (2011) no. 3, pp. 971-986. doi : 10.5802/aif.2634. http://geodesic.mathdoc.fr/articles/10.5802/aif.2634/

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