On the Index of Minimal Surfaces with Free Boundary in a Half-Space

被引：0

作者：

Chen, Shuli ^{[1
]}

机构：

[1] Stanford Univ, Dept Math, 450 Jane Stanford Way,Bldg 380, Stanford, CA 94305 USA

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 02期

关键词：

Minimal surfaces; Morse index; Free boundary; MORSE INDEX; CURVATURE; STABILITY; TOPOLOGY;

D O I：

10.1007/s12220-022-01106-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Morse index of minimal surfaces with free boundary in a half-space. We improve previous estimates relating the Neumann index to the Dirichlet index and use this to answer a question of Ambrozio, Buzano, Carlotto, and Sharp concerning the non-existence of index two embedded minimal surfaces with free boundary in a half-space. We also give a simplified proof of a result of Chodosh and Maximo concerning lower bounds for the index of the Costa deformation family.

引用

页数：11

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