Vol. 201, No. 1, 2001

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CR Yamabe conjecture – the conformally flat case

Najoua Gamara and Ridha Yacoub

Vol. 201 (2001), No. 1, 121–175
Abstract

We extend the resolution of the CR Yamabe conjecture for one of the two cases left open by D. Jerison and J.M. Lee: The CR locally conformally flat case.

The proof is based on techniques related to the theory of critical points at infinity. These techniques were first introduced by A. Bahri, A. Bahri and H. Brezis for the resolution of the same conjecture for the Riemannian case.

Milestones
Received: 8 November 1999
Revised: 3 April 2000
Published: 1 November 2001
Authors
Najoua Gamara
Faculté des Sciences de Tunis
Département de Mathématiques
Campus Universitaire
Le Belvedere 1060
Tunis
Tunisie
Ridha Yacoub
Institut Préparatoire aux Etudes d’Ingénieurs de Monastir
Route de Kairouan 5019
Monastir
Tunisie