Homogeneous Structures on Riemannian Manifolds

by Franco Tricerri and Lieven Vanhecke

Book Overview

The central theme of this book is the theorem of Ambrose and Singer, which gives for a connected, complete and simply connected Riemannian manifold a necessary and sufficient condition for it to be homogeneous. This is a local condition which has to be satisfied at all points, and in this way it is a generalization of E. Cartan's method for symmetric spaces. The main aim of the authors is to use this theorem and representation theory to give a classification...

• Format: Paperback
• Language: English
• ISBN: 0521274893
• ISBN13: 9780521274890
• Release Date: July 1983
• Publisher: Cambridge University Press
• Length: 144 Pages
• Weight: 0.49 lbs.
• Dimensions: 0.3" x 6.0" x 9.0"