洛伦兹流形体积的估计
微分几何
2015-06-26 v2 广义相对论与量子宇宙学
摘要
我们证明了洛伦兹流形体积的新估计,并特别说明具有挤压奇点的宇宙学时空具有有限体积。
引用
@article{arxiv.math/0207049,
title = {Estimates for the volume of a Lorentzian manifold},
author = {Claus Gerhardt},
journal= {arXiv preprint arXiv:math/0207049},
year = {2015}
}
备注
8 pages, a pdf version of the preprint can also be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/LM-Volume.pdf v2: A further estimate has been added covering the case when the mean curvature is merely non-negative resp. non-positive (Theorem 1.1)