Equivariant index bound for min-max free boundary minimal surfaces

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 à la Simon--Smith with $n$-parameters is bounded above by $n$.

arXiv comment26 pages, 1 figure, some clarifying expository changes in v2