On the free boundary min-max geodesics
Differential Geometry
2015-04-07 v1
Abstract
Given a Riemannian manifold and a closed submanifold, we find a geodesic segment with free boundary on the given submanifold. This is a corollary of the min-max theory which we develop in this article for the free boundary variational problem. In particular, we develop a modified Birkhoff curve shortening process to achieve a strong "Colding-Minicozzi" type min-max approximation result.
Keywords
Cite
@article{arxiv.1504.00971,
title = {On the free boundary min-max geodesics},
author = {Xin Zhou},
journal= {arXiv preprint arXiv:1504.00971},
year = {2015}
}
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16 pages