On the foliation of space-time by constant mean curvature hypersurfaces

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We prove that the mean curvature $τ$ of the slices given by a constant mean curvature foliation can be used as a time function, i.e. $τ$ is smooth with non-vanishing gradient.
7 pages, amslatex, The paper is from 1999. A pdf version of the paper can be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/Foliation.pdf and bibtex data from http://www.math.uni-heidelberg.de/studinfo/gerhardt/bibtexcg99.html

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Differential Geometry, General Relativity and Quantum Cosmology, 35J60, 53C21, 53C44, 53C50, 58J05

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http://salesiana.dossiersoluciones.com/handle/123456789/67264

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304423
 http://arxiv.org/abs/math/0304423

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arXiv