Existence results for the prescribed Scalar curvature on $S^{3}$

Mahmoud, Randa Ben; Chtioui, Hichem

doi:10.5802/aif.2634

Existence results for the prescribed Scalar curvature on

S^{3}

[Résultats d’existence pour la courbure scalaire prescrite sur

S^{3}

]

Mahmoud, Randa Ben ¹ ; 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.

Résumé
Abstract

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.

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.

MR Zbl

DOI : 10.5802/aif.2634

Classification : 58E05, 35J65, 35C21, 35B40
Keywords: Scalar curvature, critical points at infinity, topological method
Mot clés : courbure scalaire, points critiques à l’infini, méthode topologique

Affiliations des auteurs :

Mahmoud, Randa Ben ¹ ; Chtioui, Hichem

¹ Faculté des Sciences de Sfax Département de Mathématiques Route Soukra 3018 Sfax (Tunisie)

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     title = {Existence results for the prescribed {Scalar} curvature on $S^{3}$},
     journal = {Annales de l'Institut Fourier},
     pages = {971--986},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {61},
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     year = {2011},
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     zbl = {1235.35118},
     mrnumber = {2918723},
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     url = {http://www.numdam.org/articles/10.5802/aif.2634/}
}

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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://www.numdam.org/articles/10.5802/aif.2634/

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