Scalar curvature and conformal geometry
type: Item
instance of: scholarly article
title: Scalar curvature and conformal geometry
zbMATH Open document ID: 0785.53028
DOI: 10.1016/0393-0440(93)90004-X
author: Emmanuel Hebey
published in: Journal of Geometry and Physics
publication date: 1994-04-21T00:00:00Z
review text: L'auteur présente tout ce qu'il faut connaître sur la courbure scalaire en géométrie conforme (des résultats de base, aux résultats de pointe). Les contributions personnelles de E. Hebey (souvent avec M. Vaugon) dans ce domaine sont nombreuses. Parmi les résultats des autres mathématiciens de la spécialité, ceux de Hebey, pour la plupart tout récents, sont développés. Mentionnons en particulier: Multiplicités pour les problèmes de Nirenberg et de Yamabe, problème de Yamabe équivariant (qu'on pourrait appeler problème de Yamabe-Lichnerowicz): si la variété riemannienne compacte n'est pas conformément difféomorphe à la sphère, il existe une métrique conforme, à courbure scalaire constante, invariante par le groupe des isométries, toutes les transformations conformes étant des isométries. Cet article intéressa les géomètres, mais aussi les théoricients de la relativité par le théorème de la masse positive et les physiciens par l'équation de Yamabe. L'article se termine par une large bibliographie.
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 205500
zbMATH Keywords: positive mass
zbMATH Keywords: Yamabe problem
zbMATH Keywords: Nirenberg problem
zbMATH Keywords: Sobolev imbedding
zbMATH Keywords: bibliography
reviewed by: Thierry Aubin
MaRDI profile type: Publication
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Scalar curvature and conformal geometry (full work available at URL)
full work available at URL: 0393-0440(93)90004-x

Scalar curvature and conformal geometry (OpenAlex ID)
OpenAlex ID: W2012327329