Hyperbolic structures on closed spacelike manifolds

Kun Zhang

Vol. 243 (2009), No. 1, 151–164

DOI: 10.2140/pjm.2009.243.151

Abstract

We give an intrinsic generalization of spacelike manifolds. We define the intrinsic mean curvature flow and study it on certain closed generalized spacelike manifolds. Then we prove the existence of hyperbolic structures on them.

Keywords

hyperbolic structures, closed spacelike manifolds, mean curvature flow

Mathematical Subject Classification 2000

Primary: 53C44

Milestones

Received: 25 February 2009

Accepted: 19 May 2009

Published: 1 November 2009