Estimating the Morse index of free boundary minimal hypersurfaces through covering arguments

被引：1
|
作者：
Cordero-Misteli, Santiago [1 ]
Franz, Giada [2 ]
机构：
[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
[2] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2024年 / 2024卷 / 807期
基金：
欧洲研究理事会;
关键词：
SURFACES; COMPACTNESS; TOPOLOGY;
D O I：
10.1515/crelle-2023-0087
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a compact Riemannian manifold, of dimension between 3 and 7, with boundary, we adapt Song's covering method to the free boundary case to show that the Morse index of a free boundary minimal hypersurface grows linearly with the sum of its Betti numbers, where the constant of growth depends on an upper bound on the area of the free boundary minimal hypersurface in question.
引用
收藏
页码：187 / 220
页数：34
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