Equivariant index bound for min–max free boundary minimal surfaces

Franz, Giada

Equivariant index bound for min–max free boundary minimal surfaces

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Author(s)

Franz, Giada

Date Issued

July 22, 2023

Publisher

Springer Berlin Heidelberg

Citation

Calculus of Variations and Partial Differential Equations. 2023 Jul 22;62(7):201

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Final published version

Abstract

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 á la Simon–Smith with n-parameters is bounded above by n.

MIT Department

Massachusetts Institute of Technology. Department of Mathematics

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http://creativecommons.org/licenses/by/4.0/

Persistent DSpace Link

https://hdl.handle.net/1721.1/151163

DOI of Published Version

https://doi.org/10.1007/s00526-023-02514-6