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

共 50 条

[21] Immersed essential surfaces in hyperbolic 3-manifolds
Li, T
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2002, 10 (02) : 275 - 290
[22] TOTALLY GEODESIC SURFACES IN HYPERBOLIC 3-MANIFOLDS
REID, AW
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1991, 34 : 77 - 88
[23] Systolic surfaces of arithmetic hyperbolic 3-manifolds
Linowitz, Benjamin
Meyer, Jeffrey S.
IN THE TRADITION OF AHLFORS-BERS, VII, 2017, 696 : 215 - 223
[24] A note on surfaces bounding hyperbolic 3-manifolds
Zimmermann, B
MONATSHEFTE FUR MATHEMATIK, 2004, 142 (03): : 267 - 273
[25] PROPERLY IMMERSED SURFACES IN HYPERBOLIC 3-MANIFOLDS
Meeks, William H., III
Ramos, Alvaro K.
JOURNAL OF DIFFERENTIAL GEOMETRY, 2019, 112 (02) : 233 - 261
[26] Systoles of arithmetic hyperbolic surfaces and 3-manifolds
Linowitz, Benjamin
McReynolds, D. B.
Pollack, Paul
Thompson, Lola
MATHEMATICAL RESEARCH LETTERS, 2017, 24 (05) : 1497 - 1522
[27] Counting immersed surfaces in hyperbolic 3-manifolds
Masters, Joseph D.
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2005, 5 : 835 - 864
[28] Small curvature surfaces in hyperbolic 3-manifolds
Leininger, CJ
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2006, 15 (03) : 379 - 411
[29] Curvature Bounds for Surfaces in Hyperbolic 3-Manifolds
Breslin, William
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2010, 62 (05): : 994 - 1010
[30] A Note on Surfaces Bounding Hyperbolic 3-Manifolds
Bruno Zimmermann
Monatshefte für Mathematik, 2004, 142 : 267 - 273

← 1 2 3 4 5 →