A remark on a curvature gap for minimal surfaces in the ball
Differential Geometry
2018-08-14 v1
Abstract
We extend to higher codimension earlier characterization of the equatorial disk and the critical catenoid by a pinching condition on the length of their second fundamental form among free boundary minimal surfaces in the three dimensional Euclidean ball due to L. Ambrozio and I. Nunes.
Keywords
Cite
@article{arxiv.1808.04341,
title = {A remark on a curvature gap for minimal surfaces in the ball},
author = {Ezequiel Barbosa and Celso Viana},
journal= {arXiv preprint arXiv:1808.04341},
year = {2018}
}
Comments
9 pages