Dynamics on Lorentz Manifolds

Abstract

Introduction, history and outline basic results and definitions basic differential topology basic Lie theoretic results more Lie theory Minkowski linear algebra basic dynamical results examples of actions on compact Lorentz manifolds examples of nonproper actions semisimple groups admitting a nonproper action groups with action on a compact Lorentz manifold the isometry group of a compact Lorentz manifold highly symmetric compact Lorentz manifolds locally free orbit nonproper Lorentz actions orbit nonproper Lorentz actions. Appendices: the Borel density theorem tameness of algebraic actions in characteristic zero.