Semi-simple Lie groups acting conformally on compact Lorentz manifolds

TL;DR

This paper classifies semi-simple Lie groups without compact factors that can act conformally and faithfully on compact Lorentz manifolds of dimension at least 3, up to local isomorphisms.

Contribution

It provides a classification of such Lie groups acting conformally on compact Lorentz manifolds, extending understanding of symmetry groups in Lorentz geometry.

Findings

Classification of semi-simple Lie groups acting conformally on compact Lorentz manifolds

Identification of conditions for faithful conformal actions

Extension of known results in Lorentzian geometry

Abstract

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 dimension greater than or equal to $3$.