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 á la Simon–Smith with n-p...
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Format: | Article |
Language: | English |
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Springer Berlin Heidelberg
2023
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Online Access: | https://hdl.handle.net/1721.1/151163 |
Summary: | 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. |
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