Non-existence of geometric minimal foliations in hyperbolic three-manifolds

被引：1
|
作者：
Wolf, Michael [1 ]
Wu, Yunhui [2 ]
机构：
[1] Rice Univ, Dept Math, Houston, TX 77005 USA
[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
来源：
COMMENTARII MATHEMATICI HELVETICI | 2020年 / 95卷 / 01期
基金：
美国国家科学基金会;
关键词：
Hyperbolic three-manifold; minimal surface; foliation;
D O I：
10.4171/CMH/484
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that every three-dimensional hyperbolic manifold admits no locally geometric 1-parameter family of closed minimal surfaces. Here such a geometric family has normal deformations at a point that depend only the principal curvatures of that leaf at that point.
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页码：167 / 182
页数：16
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