Widths of balls and free boundary minimal submanifolds
Differential Geometry
2022-08-01 v3
Abstract
We observe that the -dimensional width of an -ball in a space form is given by the area of an equatorial -ball. We also investigate related lower bounds for the area of a free boundary minimal submanifold in a space form ball.
Cite
@article{arxiv.2203.10031,
title = {Widths of balls and free boundary minimal submanifolds},
author = {Jonathan J. Zhu},
journal= {arXiv preprint arXiv:2203.10031},
year = {2022}
}
Comments
15 pages; corrected a gap in Section 3.3