Reference : Conformal essential actions of PSL(2,R) on real-analytic compact Lorentz manifolds
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/30055
Conformal essential actions of PSL(2,R) on real-analytic compact Lorentz manifolds
English
Pecastaing, Vincent mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2017
Geometriae Dedicata
Springer Netherlands
188
1
171-194
Yes (verified by ORBilu)
International
0046-5755
1572-9168
Dordrecht
The Netherlands
[en] Conformal Geometry ; Lorentzian Geometry ; Rigid Geometric Structures ; Dynamics of Lie groups actions
[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.
http://hdl.handle.net/10993/30055
10.1007/s10711-016-0212-y
http://link.springer.com/article/10.1007%2Fs10711-016-0212-y

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