Equivariant index bound for min-max free boundary minimal surfaces

被引：1
|
作者：
Franz, Giada [1 ]
机构：
[1] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 07期
基金：
欧洲研究理事会;
关键词：
MORSE INDEX; GENUS BOUNDS; HYPERSURFACES; EXISTENCE; THEOREM;
D O I：
10.1007/s00526-023-02514-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 n-parameters is bounded above by n.
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页数：28
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