Abstract
In his well-known problem section appearing in [Yl], s.-T. Yau posed the problem of establishing a Lorentzian analogue of the Cheeger-Gromoll [CG] splitting theorem of Riemannian geometry. Although stated in [Yl] as a problem in pure Lorentzian geometry, there is a physical, as well as mathematical, motivation for considering this problem [Y2). The purpose of this paper is to discuss the physical motivation, and to survey the progress that has been made on this and related problems. We will also briefly describe some of the methods which have been employed to attack such problems.
Information
Published: 1 January 1989
First available in Project Euclid: 18 November 2014
zbMATH: 0687.53056
MathSciNet: MR1020793
Rights: Copyright © 1989, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
