Some semi-Riemannian volume comparison theorems
微分几何
2014-01-21 v1
摘要
Lorentzian versions of classical Riemannian volume comparison theorems by Gunther, Bishop and Bishop-Gromov, are stated for suitable natural subsets of general semi-Riemannian manifolds. The problem is more subtle in the Bishop-Gromov case, which is extensively discussed. For the general semi-Riemannian case, a local version of the Gunther and Bishop theorems is given and applied.
引用
@article{arxiv.math/9811166,
title = {Some semi-Riemannian volume comparison theorems},
author = {Paul E. Ehrlich and Miguel Sanchez},
journal= {arXiv preprint arXiv:math/9811166},
year = {2014}
}
备注
20 pages