Covering Trick and Embolic Volume
Differential Geometry
2019-11-21 v2 Geometric Topology
Abstract
Embolic volume of compact manifolds is defined in terms of Berger's embolic inequality. In this paper, we show a result of relating embolic volume to the first Betti number. The proof relies on Gromov's covering argument appeared in systolic geometry. Berger called this method covering trick. We exploit and present more details to covering trick in the paper.
Cite
@article{arxiv.1911.00691,
title = {Covering Trick and Embolic Volume},
author = {Lizhi Chen},
journal= {arXiv preprint arXiv:1911.00691},
year = {2019}
}
Comments
12 pages