Free boundary minimal hypersurfaces with least area
Differential Geometry
2018-01-23 v1 Geometric Topology
Abstract
In this paper, we prove the existence of the free boundary minimal hypersurface of least area in compact manifolds with boundary. Such hypersurface can be viewed as the ground state of the volume spectrum introduced by Gromov. Moreover, we characterize the orientation and Morse index of them.
Cite
@article{arxiv.1801.07036,
title = {Free boundary minimal hypersurfaces with least area},
author = {Qiang Guang and Zhichao Wang and Xin Zhou},
journal= {arXiv preprint arXiv:1801.07036},
year = {2018}
}
Comments
32 pages, 6 figures