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

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

2003-04-27

arxiv.org/abs/math/0304423v1

Mathematics

Differential Geometry

7 pages, amslatex, The paper is from 1999. A pdf version of the paper can be retrieved from http://www.math.uni-heidelberg.d

Scientific paper

We prove that the mean curvature $\tau$ of the slices given by a constant
mean curvature foliation can be used as a time function, i.e. $\tau$ is smooth
with non-vanishing gradient.

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