13 citations · 32 across the 9 of their papers we have counts for
10 papers
A local Lorentzian Ferrand-Obata theorem for conformal vector fields
Sorin Dumitrescu, Charles Frances, Karin Melnick +2
For a conformal vector field on a closed, real-analytic, Lorentzian manifold we prove that the flow is locally isometric -- that it preserves a metric in the conformal class on a n…
Conformal actions of solvable Lie groups on closed Lorentzian manifolds
Vincent Pecastaing
We consider conformal actions of solvable Lie groups on closed Lorentzian manifolds. With anterior results in which we addressed similar questions for semi-simple Lie group actions…
The conformal group of a compact simply connected Lorentzian manifold
Karin Melnick, Vincent Pecastaing
We prove that the conformal group of a closed, simply connected, real analytic Lorentzian manifold is compact. D'Ambra proved in 1988 that the isometry group of such a manifold is…
Projective and conformal closed manifolds with a higher-rank lattice action
Vincent Pecastaing
We prove global results about actions of cocompact lattices in higher-rank simple Lie groups on closed manifolds endowed with either a projective class of connections or a conforma…
Conformal actions of higher rank lattices on compact pseudo-Riemannian manifolds
Vincent Pecastaing
We investigate conformal actions of cocompact lattices in higher-rank simple Lie groups on compact pseudo-Riemannian manifolds. Our main result gives a general bound on the real-ra…
Conformal actions of real-rank 1 simple Lie groups on pseudo-Riemannian manifolds
Vincent Pecastaing
Given a simple Lie group G of rank 1, we consider compact pseudo-Riemannian manifolds (M,g) of signature (p,q) on which G can act conformally. Precisely, we determine the smallest…
Lorentzian manifolds with a conformal action of SL(2,R)
Vincent Pecastaing
We consider conformal actions of simple Lie groups on compact Lorentzian manifolds. Mainly motivated by the Lorentzian version of a conjecture of Lichnerowicz, we establish the alt…
Essential conformal actions of PSL(2,R) on real-analytic compact Lorentz manifolds
Vincent Pecastaing
The main result of this paper is the conformal flatness of real-analytic compact Lorentz manifolds of dimension at least admitting a conformal essential (i.e. conformal, but no…
Semi-simple Lie groups acting conformally on compact Lorentz manifolds
Vincent Pecastaing
We give a classification, up to local isomorphisms, of semi-simple Lie groups without compact factors that can act faithfully and conformally on a compact Lorentz manifold of dimen…
On two theorems about local automorphisms of geometric structures
Vincent Pecastaing
This article investigates a few questions about orbits of local automorphisms in manifolds endowed with rigid geometric structures. We give sufficient conditions for local homogene…