On the index of minimal surfaces with free boundary in a half-space
Differential Geometry
2021-03-22 v1
Abstract
We study the Morse index of minimal surfaces with free boundary in a half-space. We improve previous estimates relating the Neumann index to the Dirichlet index and use this to answer a question of Ambrozio, Buzano, Carlotto, and Sharp concerning the non-existence of index two embedded minimal surfaces with free boundary in a half-space. We also give a simplified proof of a result of Chodosh and Maximo concerning lower bounds for the index of the Costa deformation family.
Cite
@article{arxiv.2103.10588,
title = {On the index of minimal surfaces with free boundary in a half-space},
author = {Shuli Chen},
journal= {arXiv preprint arXiv:2103.10588},
year = {2021}
}
Comments
8 pages