NON-SIMPLY CONNECTED MINIMAL PLANAR DOMAINS

被引:0
|
作者
Martin, Francisco [1 ]
Magdalena Rodriguez, M. [1 ]
机构
[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain
关键词
DIRICHLET PROBLEM; SURFACES; IMMERSIONS; EQUATION;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that any non-simply connected planar domain can be properly and minimally embedded in H-2 x R. The examples that we produce are vertical bi-graphs, and they are obtained from the conjugate surface of a Jenkins-Serrin graph.
引用
收藏
页码:6167 / 6183
页数:17
相关论文
共 50 条
  • [31] Quadrilateral Mesh of Non-simply Connected Domain and Non-planar Surfaces From a Given Cross-Field
    Dotse, Kokou M.
    Mouysset, Vincent
    Pernet, Sebastien
    SIAM INTERNATIONAL MESHING ROUNDTABLE 2023, SIAM IMR 2023, 2024, 147 : 293 - 312
  • [32] On the distribution of harmonic measure on simply connected planar domains
    Betsakos, D
    Solynin, AY
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2003, 75 : 145 - 151
  • [33] Multi-phases in gauge theories on non-simply connected spaces
    Hatanaka, H
    Ohnishi, K
    Sakamoto, M
    Takenaga, K
    PROGRESS OF THEORETICAL PHYSICS, 2002, 107 (06): : 1191 - 1200
  • [35] On contact invariants of non-simply connected Gorenstein toric contact manifolds
    Abreu, Miguel
    Macarini, Leonardo
    Moreira, Miguel
    MATHEMATICAL RESEARCH LETTERS, 2022, 29 (01) : 1 - 42
  • [36] On moduli spaces of flat connections with non-simply connected structure group
    Schweigert, C
    NUCLEAR PHYSICS B, 1997, 492 (03) : 743 - 755
  • [37] Symmetry breaking/restoration in a non-simply connected space-time
    Hatanaka, H
    Matsumoto, S
    Ohnishi, K
    Sakamoto, M
    HIGH ENERGY PHYSICS, VOLS I AND II, 2001, : 1347 - 1349
  • [38] An Overview of Rationalization Theories of Non-simply Connected Spaces and Non-nilpotent Groups
    Sergei O.IVANOV
    ActaMathematicaSinica,EnglishSeries, 2022, (10) : 1705 - 1721
  • [39] An Overview of Rationalization Theories of Non-simply Connected Spaces and Non-nilpotent Groups
    Sergei O. Ivanov
    Acta Mathematica Sinica, English Series, 2022, 38 : 1705 - 1721
  • [40] Stabilization of half-skyrmions: Heisenberg spins on a non-simply connected manifold
    Saxena, A
    Dandoloff, R
    PHYSICAL REVIEW B, 2002, 66 (10):