Index Estimates for Free Boundary Constant Mean Curvature Surfaces
Differential Geometry
2020-03-18 v1
Abstract
In this paper, we consider compact free boundary constant mean curvature surfaces immersed in a mean convex body of the Euclidean space or in the unit sphere. We prove that the Morse index is bounded from below by a linear function of the genus and number of boundary components.
Keywords
Cite
@article{arxiv.1803.05995,
title = {Index Estimates for Free Boundary Constant Mean Curvature Surfaces},
author = {Marcos P. Cavalcante and Darlan F. de Oliveira},
journal= {arXiv preprint arXiv:1803.05995},
year = {2020}
}