Constant angle surfaces in the Lorentzian Heisenberg group

被引：0
|
作者：
Irene I. Onnis
Paola Piu
机构：
[1] ICMC,Departamento de Matemática
[2] USP,Dipartimento di Matematica e Informatica
[3] Università degli Studi di Cagliari,undefined
来源：
Archiv der Mathematik | 2017年 / 109卷
关键词：
Lorentzian Heisenberg group; Helix surfaces; Constant angle surfaces; 53A35; 53B25; 53B30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we define and, then, we characterize constant angle spacelike and timelike surfaces in the three-dimensional Heisenberg group, equipped with a 1-parameter family of Lorentzian metrics. In particular, we give an explicit local parametrization of these surfaces and we produce some examples.
引用
收藏
页码：575 / 589
页数：14
相关论文
共 50 条
  • [1] Constant angle surfaces in the Lorentzian Heisenberg group
    Onnis, Irene I.
    Piu, Paola
    ARCHIV DER MATHEMATIK, 2017, 109 (06) : 575 - 589
  • [2] 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
  • [3] 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
  • [4] Constant Angle Surfaces in Lorentzian Berger Spheres
    Irene I. Onnis
    Apoena Passos Passamani
    Paola Piu
    The Journal of Geometric Analysis, 2019, 29 : 1456 - 1478
  • [5] Constant Angle Surfaces in Lorentzian Berger Spheres
    Onnis, Irene I.
    Passamani, Apoena Passos
    Piu, Paola
    JOURNAL OF GEOMETRIC ANALYSIS, 2019, 29 (02) : 1456 - 1478
  • [6] Minimal surfaces in three dimensional Lorentzian Heisenberg group
    Turhan E.
    Altay G.
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2014, 55 (1): : 1 - 23
  • [7] Constant mean curvature surfaces in the heisenberg group
    Tomter, Per
    Proceedings of Symposia in Pure Mathematics, 1993, 54 (03):
  • [8] On constant mean curvature surfaces in the Heisenberg group
    D. A. Berdinsky
    Siberian Advances in Mathematics, 2012, 22 (2) : 75 - 79
  • [9] Constant mean curvatures surfaces in the heisenberg group
    Tomter, Per
    Proceedings of Symposia in Pure Mathematics, 1993, 54 (02):
  • [10] Gauss–Bonnet Theorems for Lorentzian and Spacelike Surfaces Associated to Canonical Connections in the Lorentzian Heisenberg Group
    H. Liu
    J. Guan
    Siberian Mathematical Journal, 2023, 64 : 471 - 499
12345