TRANSLATION INVARIANT SURFACES IN THE 3-DIMENSIONAL HEISENBERG GROUP

被引：0
|
作者：
Yoon, D. W. [1 ]
Lee, J. W. [2 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ & RINS, Jinju 660701, South Korea
[2] Busan Natl Univ Educ, Dept Math Educ, Pusan 611736, South Korea
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2014年 / 40卷 / 06期
基金：
新加坡国家研究基金会;
关键词：
Heisenberg group; finite type surface; invariant surface; HYPERSURFACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study translation invariant surfaces in the 3-dimensional Heisenberg group Nil(3). In particular, we completely classify translation invariant surfaces in Nil(3) whose position vector x satisfies the equation Delta x = Ax, where Delta is the Laplacian operator of the surface and A is a 3 x 3-real matrix.
引用
收藏
页码：1373 / 1385
页数：13
相关论文
共 50 条
  • [1] Flat translation invariant surfaces in the 3-dimensional Heisenberg group
    Inoguchi, Jun-ichi
    [J]. JOURNAL OF GEOMETRY, 2005, 82 (1-2) : 83 - 90
  • [2] SOME TRANSLATION SURFACES IN THE 3-DIMENSIONAL HEISENBERG GROUP
    Yoon, Dae Won
    Lee, Chul Woo
    Karacan, Murat Kemal
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (04) : 1329 - 1343
  • [3] The Flat Translation Surfaces in the 3-dimensional Lorentz Heisenberg Group H3
    Medjati, Rafik
    Taifour, Said
    Zoubir, Hanifi
    [J]. JOURNAL FOR GEOMETRY AND GRAPHICS, 2024, 28 (01): : 1 - 18
  • [4] Left invariant Randers metrics on the 3-dimensional Heisenberg group
    Toth, A. Lengyelne
    Kovacs, Zoltan
    [J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2014, 85 (1-2): : 161 - 179
  • [5] Helicoidal surfaces of finite type in the 3-dimensional Heisenberg group
    Senoussi, Bendehiba
    [J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2022, 25 (04) : 1143 - 1152
  • [6] Minimal Translation Surfaces in the Three-Dimensional Heisenberg Group
    Ramis, Cagla
    Munteanu, Marian Ioan
    [J]. FILOMAT, 2019, 33 (06) : 1583 - 1592
  • [7] Minimal translation surfaces in the Heisenberg group Nil3
    Jun-ichi Inoguchi
    Rafael López
    Marian-Ioan Munteanu
    [J]. Geometriae Dedicata, 2012, 161 : 221 - 231
  • [8] Minimal translation surfaces in the Heisenberg group Nil3
    Inoguchi, Jun-ichi
    Lopez, Rafael
    Munteanu, Marian-Ioan
    [J]. GEOMETRIAE DEDICATA, 2012, 161 (01) : 221 - 231
  • [9] Translation surfaces in the 3-dimensional space satisfying ΔIIIri = μiri
    Mohammed Bekkar
    Bendehiba Senoussi
    [J]. Journal of Geometry, 2012, 103 (3) : 367 - 374
  • [10] POLYNOMIAL TRANSLATION WEINGARTEN SURFACES IN 3-DIMENSIONAL EUCLIDEAN SPACE
    Munteanu, M. I.
    Nistor, A. I.
    [J]. DIFFERENTIAL GEOMETRY, 2009, : 316 - 320
12345