Minimal Surfaces in Hyperbolic 3-Manifolds

被引：4
|
作者：
Coskunuzer, Baris [1 ]
机构：
[1] Univ Texas Dallas, Richardson, TX 75083 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2021年 / 74卷 / 01期
关键词：
MANIFOLDS; HYPERSURFACES; AREA; EXISTENCE;
D O I：
10.1002/cpa.21961
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the existence of smoothly embedded closed minimal surfaces in infinite volume hyperbolic 3-manifolds except for some special cases. (C) 2020 Wiley Periodicals LLC
引用
收藏
页码：114 / 139
页数：26
相关论文
共 50 条
  • [21] Counting immersed surfaces in hyperbolic 3-manifolds
    Masters, Joseph D.
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2005, 5 : 835 - 864
  • [22] Small curvature surfaces in hyperbolic 3-manifolds
    Leininger, CJ
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2006, 15 (03) : 379 - 411
  • [23] Curvature Bounds for Surfaces in Hyperbolic 3-Manifolds
    Breslin, William
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2010, 62 (05): : 994 - 1010
  • [24] A Note on Surfaces Bounding Hyperbolic 3-Manifolds
    Bruno Zimmermann
    Monatshefte für Mathematik, 2004, 142 : 267 - 273
  • [25] Bifurcation for minimal surface equation in hyperbolic 3-manifolds
    Huang, Zheng
    Lucia, Marcello
    Tarantello, Gabriella
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021, 38 (02): : 243 - 279
  • [26] On minimal ideal triangulations of cusped hyperbolic 3-manifolds
    Jaco, William
    Rubinstein, Hyam
    Spreer, Jonathan
    Tillmann, Stephan
    JOURNAL OF TOPOLOGY, 2020, 13 (01) : 308 - 342
  • [27] PL MINIMAL-SURFACES IN 3-MANIFOLDS
    JACO, W
    RUBINSTEIN, JH
    JOURNAL OF DIFFERENTIAL GEOMETRY, 1988, 27 (03) : 493 - 524
  • [28] A NONEXISTENCE RESULT FOR CMC SURFACES IN HYPERBOLIC 3-MANIFOLDS
    Meeks, William H., III
    Ramos, Alvaro K.
    PACIFIC JOURNAL OF MATHEMATICS, 2021, 312 (01) : 171 - 175
  • [29] HOMOLOGY OF CURVES AND SURFACES IN CLOSED HYPERBOLIC 3-MANIFOLDS
    Liu, Yi
    Markovic, Vladimir
    DUKE MATHEMATICAL JOURNAL, 2015, 164 (14) : 2723 - 2808
  • [30] A combination theorem for convex hyperbolic manifolds, with applications to surfaces in 3-manifolds
    Baker, Mark
    Cooper, Daryl
    JOURNAL OF TOPOLOGY, 2008, 1 (03) : 603 - 642
12345