Area and boundary length of surfaces diffeomorphic to annuli
Differential Geometry
2021-07-02 v1
Abstract
In this paper, we give a proof to a statement in Perelman's paper for finite extinction time of Ricci flow. Our proof draws on different techniques from the one given in Morgan-Tian's exposition and is extrinsic in nature, which relies on the co-area formula instead of the Gauss-Bonnet theorem, and is potentially generalizable to higher dimensions.
Cite
@article{arxiv.2107.00335,
title = {Area and boundary length of surfaces diffeomorphic to annuli},
author = {Tsz-Kiu Aaron Chow},
journal= {arXiv preprint arXiv:2107.00335},
year = {2021}
}
Comments
16 pages