Minimal Surfaces in Hyperbolic 3-Manifolds

被引:4
作者
Coskunuzer, Baris [1 ]
机构
[1] Univ Texas Dallas, Richardson, TX 75083 USA
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 37 条
  • [11] MINIMAL SURFACES IN FINITE VOLUME NONCOMPACT HYPERBOLIC 3-MANIFOLDS (vol 209, pg 617, 2017)
    Collin, Pascal
    Hauswirth, Laurent
    Mazet, Laurent
    Rosenberg, Harold
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 372 (10) : 7521 - 7524
  • [12] MINIMAL SURFACES IN FINITE VOLUME NONCOMPACT HYPERBOLIC 3-MANIFOLDS
    Collin, Pascal
    Hauswirth, Laurent
    Mazet, Laurent
    Rosenberg, Harold
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (06) : 4293 - 4309
  • [13] EMBEDDED H-PLANES IN HYPERBOLIC 3-SPACE
    Coskunuzer, Baris
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 371 (02) : 1253 - 1269
  • [14] EMBEDDED PLATEAU PROBLEM
    Coskunuzer, Baris
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (03) : 1211 - 1224
  • [15] Federer H., 1969, Geometric Measure Theory
  • [16] LEAST AREA INCOMPRESSIBLE SURFACES IN 3-MANIFOLDS
    FREEDMAN, M
    HASS, J
    SCOTT, P
    [J]. INVENTIONES MATHEMATICAE, 1983, 71 (03) : 609 - 642
  • [17] Plateau-Stein manifolds
    Gromov, Misha
    [J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (07): : 923 - 951
  • [18] THE EXISTENCE OF LEAST AREA SURFACES IN 3-MANIFOLDS
    HASS, J
    SCOTT, P
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 310 (01) : 87 - 114
  • [20] Hass J, 2015, PREPRINT