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

Mahmoud, Randa Ben; Chtioui, Hichem

Annales de l'Institut Fourier, Tome 61 (2011) no. 3, pp. 971-986

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.

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

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