Free boundary minimal hypersurfaces with least area

IF 0.7 4区数学 Q2 MATHEMATICS

Communications in Analysis and Geometry Pub Date : 2024-07-16 DOI:10.4310/cag.2023.v31.n5.a4

Guang,Qiang, Wang,Zhichao, Zhou,Xin

引用次数: 0

Abstract

In this paper, we prove the existence of the free boundary minimal hypersurface of least area in compact manifolds with boundary. Such a hypersurface can be viewed as the ground state of the volume spectrum introduced by Gromov. Moreover, we characterize the orientation and Morse index of them.

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面积最小的自由边界最小超曲面

在本文中，我们证明了在有边界的紧凑流形中存在面积最小的自由边界最小超曲面。这种超曲面可视为格罗莫夫引入的体积谱的基态。此外，我们还表征了它们的方向和莫尔斯指数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Analysis and Geometry 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.