Flat translation invariant surfaces in the 3-dimensional Heisenberg group

被引：12
|
作者：
Inoguchi, Jun-ichi [1 ]
机构：
[1] Utsunomiya Univ, Fac Educ, Dept Math Educ, Minemachi 350, Utsunomiya, Tochigi 3218502, Japan
来源：
JOURNAL OF GEOMETRY | 2005年 / 82卷 / 1-2期
关键词：
Heisenberg group; Translation invariant surface; flat surface;
D O I：
10.1007/s00022-005-1730-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Flat translation invariant surfaces in 3-dimensional Heisenberg group are classified.
引用
收藏
页码：83 / 90
页数：8
相关论文
共 50 条
  • [21] Timelike Minimal Surfaces in the Three-Dimensional Heisenberg Group
    Kiyohara, Hirotaka
    Kobayashi, Shimpei
    JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (08)
  • [22] Minimal Surfaces in the Heisenberg Group
    Scott D. Pauls
    Geometriae Dedicata, 2004, 104 : 201 - 231
  • [23] Minimal surfaces in the Heisenberg group
    Pauls, SD
    GEOMETRIAE DEDICATA, 2004, 104 (01) : 201 - 231
  • [24] Constant angle surfaces in the Heisenberg group
    Johan Fastenakels
    Marian Ioan Munteanu
    Joeri Van Der Veken
    Acta Mathematica Sinica, English Series, 2011, 27 : 747 - 756
  • [25] Constant Angle Surfaces in the Heisenberg Group
    Fastenakels, Johan
    Munteanu, Marian Ioan
    Van Der Veken, Joeri
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (04) : 747 - 756
  • [26] Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group
    Dorfmeister, Josef F.
    Inoguchi, Jun-ichi
    Kobayashi, Shimpei
    COMPLEX MANIFOLDS, 2022, 9 (01): : 285 - 336
  • [27] On the Isometry Groups of Invariant Lorentzian Metrics on the Heisenberg Group
    del Barco, V.
    Ovando, G. P.
    Vittone, F.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2014, 11 (01) : 137 - 153
  • [28] On the Isometry Groups of Invariant Lorentzian Metrics on the Heisenberg Group
    V. del Barco
    G. P. Ovando
    F. Vittone
    Mediterranean Journal of Mathematics, 2014, 11 : 137 - 153
  • [29] Classification of left-invariant metrics on the Heisenberg group
    Vukmirovic, Srdjan
    JOURNAL OF GEOMETRY AND PHYSICS, 2015, 94 : 72 - 80
  • [30] CHARACTERIZATION OF PARALLEL SURFACES TO S- alpha SURFACES IN HEISENBERG GROUP HEIS3
    Korpinar, Talat
    Turhan, Essin
    JOURNAL OF SCIENCE AND ARTS, 2012, (04) : 395 - 400
12345