2003•arXiv (Cornell University)Open access

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

Claus Gerhardt

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Foliation (geology), Mean curvature, Constant (computer programming), Mathematics, Curvature, Mathematical analysis, Mean curvature flow, Center of curvature

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