论时空由常平均曲率超曲面所构成的叶状结构
微分几何
2007-05-23 v1 广义相对论与量子宇宙学
摘要
我们证明，由常平均曲率叶状结构给出的切片的平均曲率 可用作时间函数，即 是光滑的且梯度不为零。
引用
@article{arxiv.math/0304423,
title = {On the foliation of space-time by constant mean curvature hypersurfaces},
author = {Claus Gerhardt},
journal= {arXiv preprint arXiv:math/0304423},
year = {2007}
}
备注
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