Abstract :
[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.
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