Equivariant index bound for min-max free boundary minimal surfaces
Differential Geometry
2023-10-16 v2
Abstract
Given a three-dimensional Riemannian manifold with boundary and a finite group of orientation-preserving isometries of this manifold, we prove that the equivariant index of a free boundary minimal surface obtained via an equivariant min-max procedure \`a la Simon--Smith with -parameters is bounded above by .
Keywords
Cite
@article{arxiv.2110.01020,
title = {Equivariant index bound for min-max free boundary minimal surfaces},
author = {Giada Franz},
journal= {arXiv preprint arXiv:2110.01020},
year = {2023}
}
Comments
26 pages, 1 figure, some clarifying expository changes in v2