MINIMAL AREA SURFACES AND FIBERED HYPERBOLIC 3-MANIFOLDS

被引：1

作者：

Farre, James ^{[1
]}

Pallete, Franco Vargas ^{[2
]}

机构：

[1] Heidelberg Univ, Mathemat Inst, Neuenheimer Feld 288, D-69120 Heidelberg, Germany

[2] Yale Univ, Dept Math, New Haven, CT 06520 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 150卷 / 11期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1090/proc/15998

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By work of Uhlenbeck, the largest principal curvature of any least area fiber of a hyperbolic 3-manifold fibering over the circle is bounded below by one. We give a short argument to show that, along certain families of fibered hyperbolic 3-manifolds, there is a uniform lower bound for the maximum principal curvatures of a least area minimal surface which is greater than one.

引用

页码：4931 / 4946

页数：16

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