A note on minimal surfaces with bounded index

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.a1

Maximo,Davi

引用次数: 0

Abstract

For any closed Riemannian three-manifold, we prove that for any sequence of closed embedded minimal surfaces with uniformly bounded index, the genus can only grow at most linearly with respect to the area.

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关于有界指数极小曲面的说明

对于任何封闭的黎曼三网格，我们证明，对于任何具有均匀有界指数的封闭嵌入极小曲面序列，其属性最多只能随面积线性增长。

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.