8 citations · 20 across the 7 of their papers we have counts for
11 papers
The Lorentzian Lichnerowicz Conjecture for real-analytic, three-dimensional manifolds
Charles Frances, Karin Melnick
Given a compact, three-dimensional, real-analytic Lorentzian manifold , we prove that the identity component of the conformal group preserves a metric in the conformal class…
Isometry Group of Lorentz Manifolds: A Coarse Perspective
Charles Frances
We prove a structure theorem for the isometry group Iso(M, g) of a compact Lorentz manifold, under the assumption that a closed subgroup has exponential growth. We don't assume any…
Lorentz Dynamics on Closed 3-Manifolds
Charles Frances
In this paper, we give a complete topological, as well as geometrical classification of closed 3-dimensional Lorentz manifolds admitting a noncompact isometry group.
Variations on Gromov's open-dense orbit theorem
Charles Frances
We investigate several situations where the local homogeneity of a geometric structure on a dense open subset of a manifold implies the local homogeneity everywhere. This results i…
Removable and essential singular sets for higher dimensional conformal maps
Charles Frances
In this article, we prove several results about the extension to the boundary of conformal immersions from an open subset of a Riemannian manifold , into another Riemannian…
Local Dynamics of Conformal Vector Fields
Charles Frances
The aim of the paper is to understand the local forms of conformal vector fields in the neighborhood of a singularity. We begin a general study in this direction, for any pseudo-Ri…