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Special temporal functions on globally hyperbolic manifolds

Research paper by Olaf Müller

Indexed on: 22 Oct '12Published on: 22 Oct '12Published in: Mathematics - Differential Geometry



Abstract

In this article, existence results concerning temporal functions with additional properties on a globally hyperbolic manifold are obtained. These properties are certain bounds on geometric quantities as lapse and shift. The results are linked to completeness properties and the existence of closed isometric embeddings in Minkowski spaces.