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
We prove global results about actions of cocompact lattices in higher-rank simple Lie groups on clos...
We prove global results about actions of cocompact lattices in higher-rank simple Lie groups on clos...
The main result of this paper is that a Lorentzian manifold is locally conformally equivalent to a m...
peer reviewedWe consider conformal actions of simple Lie groups on compact Lorentzian manifolds. Mai...
Abstract. Given a simple Lie group G of rank 1, we consider compact pseudoRiemannian manifolds (M, g...
We study pseudo-Riemanniasn manifolds (M; g) with transitive group of conformal transformation which...
peer reviewedWe prove that, for a compact, 3-dimensional, real-analytic, Lorentzian manifold, if the...
We investigate conformal actions of cocompact lattices in higher-rank simple Lie groups on compact p...
peer reviewedWe investigate conformal actions of cocompact lattices in higher-rank simple Lie groups...
Abstract. We study conformal actions of connected nilpotent Lie groups on compact pseudo-Riemannian ...
International audienceWe study conformal actions of connected nilpotent Lie groups on compact pseudo...
We study pseudo-Riemanniasn manifolds (M; g) with transitive group of conformal transformation which...
Abstract As is well-known, the real rank of a simple Lie group that acts conformally on a pseudo-Rie...
The main object of this thesis is the study of pseudo-Riemannian structures and their local and glob...
The main object of this thesis is the study of pseudo-Riemannian structures and their local and glob...
We prove global results about actions of cocompact lattices in higher-rank simple Lie groups on clos...
We prove global results about actions of cocompact lattices in higher-rank simple Lie groups on clos...
The main result of this paper is that a Lorentzian manifold is locally conformally equivalent to a m...
peer reviewedWe consider conformal actions of simple Lie groups on compact Lorentzian manifolds. Mai...
Abstract. Given a simple Lie group G of rank 1, we consider compact pseudoRiemannian manifolds (M, g...
We study pseudo-Riemanniasn manifolds (M; g) with transitive group of conformal transformation which...
peer reviewedWe prove that, for a compact, 3-dimensional, real-analytic, Lorentzian manifold, if the...
We investigate conformal actions of cocompact lattices in higher-rank simple Lie groups on compact p...
peer reviewedWe investigate conformal actions of cocompact lattices in higher-rank simple Lie groups...
Abstract. We study conformal actions of connected nilpotent Lie groups on compact pseudo-Riemannian ...
International audienceWe study conformal actions of connected nilpotent Lie groups on compact pseudo...
We study pseudo-Riemanniasn manifolds (M; g) with transitive group of conformal transformation which...
Abstract As is well-known, the real rank of a simple Lie group that acts conformally on a pseudo-Rie...
The main object of this thesis is the study of pseudo-Riemannian structures and their local and glob...
The main object of this thesis is the study of pseudo-Riemannian structures and their local and glob...
We prove global results about actions of cocompact lattices in higher-rank simple Lie groups on clos...
We prove global results about actions of cocompact lattices in higher-rank simple Lie groups on clos...
The main result of this paper is that a Lorentzian manifold is locally conformally equivalent to a m...