The conformal group of a compact simply connected Lorentzian manifold
Differential Geometry
2021-07-15 v3
Abstract
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 compact. Our result implies the Lorentzian Lichnerowicz Conjecture for real analytic Lorentzian manifolds with finite fundamental group. Third version includes corrections and clarifications, particularly in section 6.
Keywords
Cite
@article{arxiv.1911.06251,
title = {The conformal group of a compact simply connected Lorentzian manifold},
author = {Karin Melnick and Vincent Pecastaing},
journal= {arXiv preprint arXiv:1911.06251},
year = {2021}
}
Comments
45 pages. To appear in Journal of the AMS