Conformal Geometry; Lorentzian Geometry; Rigid Geometric Structures; Dynamics of Lie groups actions
Résumé :
[en] The main result of this paper is the conformal flatness of real-analytic compact
Lorentz manifolds of dimension at least three admitting a conformal essential action of a
Lie group locally isomorphic to PSL(2,R). It is established by using a general result on
local isometries of real-analytic rigid geometric structures. As corollary, we deduce the same
conclusion for conformal essential actions of connected semi-simple Lie groups on real-analytic
compact Lorentz manifolds. This work is a contribution to the understanding of the
Lorentzian version of a question asked by A. Lichnerowicz.
Disciplines :
Mathématiques
Auteur, co-auteur :
PECASTAING, Vincent ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
Conformal essential actions of PSL(2,R) on real-analytic compact Lorentz manifolds
