ON THE BUMPY METRICS THEOREM FOR MINIMAL SUBMANIFOLDS

被引：37

作者：

White, Brian ^{[1
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2017年 / 139卷 / 04期

基金：

美国国家科学基金会;

关键词：

SPACE;

D O I：

10.1353/ajm.2017.0029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proves several natural generalizations of the theorem that for a generic, C-k Riemannian metric on a smooth manifold, there are no closed, embedded, minimal submanifolds with nontrivial Jacobi fields.

引用

页码：1149 / 1155

页数：7

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