On the isometry group of Lorentz manifolds

Abstract

We will first review a construction in [10] to establish the Lie group structure of the group of isometries of a semi-Riemannian manifold. The problem is cast in the language of G-structures. In the second part of this chapter, we will review some recent results on the classification of groups acting isometrically on compact Lorentz manifolds and on the geometry of compact manifolds whose isometry group is non compact.© Springer Science+Business Media New York 2013.