Vol. 243, No. 1, 2009

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Hyperbolic structures on closed spacelike manifolds

Kun Zhang

Vol. 243 (2009), No. 1, 151–164
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

Primary: 53C44

Milestones

Received: 25 February 2009
Accepted: 19 May 2009

Authors
Kun Zhang
School of Mathematics and Computational Science
Sun Yat-sen University
No. 135 Xingang Road West
Guangzhou 510275
China