Contracting thin disks
Differential Geometry
2013-09-18 v2
Abstract
We answer a question of Liokumovich-Nabutovsky-Rotman showing that if D is a Riemannian 2-disc with boundary length L, diameter d and area A << d then D can be filled by a homotopy where the lengths of the intermediate curves are bounded by .
Cite
@article{arxiv.1309.2967,
title = {Contracting thin disks},
author = {Panos Papasoglu},
journal= {arXiv preprint arXiv:1309.2967},
year = {2013}
}
Comments
6 pages, revised the questions section