English

The Lorentzian Lichnerowicz Conjecture for real-analytic, three-dimensional manifolds

Differential Geometry 2021-08-17 v1

Abstract

Given a compact, three-dimensional, real-analytic Lorentzian manifold (M,g)(M,g), we prove that the identity component of the conformal group preserves a metric in the conformal class [g][g], or (M,g)(M,g) is conformally flat.

Keywords

Cite

@article{arxiv.2108.07215,
  title  = {The Lorentzian Lichnerowicz Conjecture for real-analytic, three-dimensional manifolds},
  author = {Charles Frances and Karin Melnick},
  journal= {arXiv preprint arXiv:2108.07215},
  year   = {2021}
}

Comments

41 pp

R2 v1 2026-06-24T05:09:35.542Z