Multiplicity results for the prescribed Webster scalar curvature on the three CR sphere under “flatness condition”

Moncef Riahi; Najoua Gamara

doi:10.1016/j.bulsci.2011.04.006

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Multiplicity results for the prescribed Webster scalar curvature on the three CR sphere under “flatness condition”

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Multiplicity results for the prescribed Webster scalar curvature on the three CR sphere under “flatness condition”

Moncef Riahi and Najoua Gamara

Bulletin des sciences mathématiques, Vol.136(1), pp.72-95

2012

DOI: https://doi.org/10.1016/j.bulsci.2011.04.006

Abstract

Critical point at infinity

Gradient flow

Morse index

Topological methods

Webster scalar curvature

In this paper we consider the problem of prescribing the Webster scalar curvature on the three CR sphere of C 2 . We use techniques related to the theory of critical points at infinity, and obtain multiplicity results for curvature satisfying a CR “flatness condition”.

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Title: Multiplicity results for the prescribed Webster scalar curvature on the three CR sphere under “flatness condition”
Creators - without role: Moncef Riahi - Institut Préparatoire aux Études d'Ingénieurs de Monastir
Najoua Gamara - Institut Préparatoire aux Études d'Ingénieurs de Monastir
Publication Details: Bulletin des sciences mathématiques, Vol.136(1), pp.72-95
Publisher: Elsevier Masson SAS
Identifiers: 9930445208331
Academic Unit: Taibah University
Language: English
Resource Type: Journal article