Affine collineations in space-time

Abstract

The existence of affine collineations in space-time is discussed and the types of space-time admitting proper affine collineations is displayed. The close connection between such space-times and their holonomy structure and local decomposability is established. Affine collineations with fixed points are also considered as is the problem of extending local affine collineations to the whole of space-time.