Triply periodic zero mean curvature surfaces in Lorentz-Minkowski 3-space

被引：0
|
作者：
Fujimori, Shoichi [1 ]
机构：
[1] Okayama Univ, Dept Math, Tsushima Naka 3-1-1, Okayama 7008530, Japan
来源：
SINGULARITIES IN GENERIC GEOMETRY | 2018年 / 78卷
基金：
奥地利科学基金会; 日本学术振兴会;
关键词：
zero mean curvature; triply periodic surface; fold singularity; MINIMAL-SURFACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct triply periodic zero mean curvature surfaces of mixed type in the Lorentz-Minkowski 3-space L-3, with the same topology as the triply periodic minimal surfaces in the Euclidean 3-space R-3, called Schwarz rPD surfaces.
引用
收藏
页码：201 / 219
页数：19
相关论文
共 50 条
  • [21] Classification of Surfaces of Coordinate Finite Type in the Lorentz-Minkowski 3-Space
    Al-Zoubi, Hassan
    Akbay, Alev Kelleci
    Hamadneh, Tareq
    Al-Sabbagh, Mutaz
    AXIOMS, 2022, 11 (07)
  • [22] Classification of Ruled Surfaces as Homothetic Self-Similar Solutions of the Inverse Mean Curvature Flow in the Lorentz-Minkowski 3-Space
    Neto, Gregorio Silva
    Silva, Vanessa
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2023, 54 (04):
  • [23] Some new examples of nonorientable maximal surfaces in the Lorentz-Minkowski 3-space
    Kaneda, Shin
    HIROSHIMA MATHEMATICAL JOURNAL, 2023, 53 (03) : 311 - 334
  • [24] ROTATION HYPERSURFACES IN LORENTZ-MINKOWSKI SPACE WITH CONSTANT MEAN CURVATURE
    Dursun, Ugur
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (02): : 685 - 705
  • [25] Surfaces With Light-Like Points In Lorentz-Minkowski 3-Space With Applications
    Umehara, Masaaki
    Yamada, Kotaro
    LORENTZIAN GEOMETRY AND RELATED TOPICS, GELOMA 2016, 2017, 211 : 253 - 273
  • [26] Lorentzian Darboux images of curves on spacelike surfaces in Lorentz-Minkowski 3-space
    Ito, Noriaki
    Izumiya, Shyuichi
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, 13 (05)
  • [27] Lightcone framed curves in the Lorentz-Minkowski 3-space
    Chen, Liang
    Takahashi, Masatomo
    TURKISH JOURNAL OF MATHEMATICS, 2024, 48 (02) : 307 - 326
  • [28] Periodic maximal surfaces in the Lorentz-Minkowski space L3
    Fernandez, Isabel
    Lopez, Francisco J.
    MATHEMATISCHE ZEITSCHRIFT, 2007, 256 (03) : 573 - 601
  • [29] NULL-TRANSLATION SURFACES WITH CONSTANT CURVATURES IN LORENTZ-MINKOWSKI 3-SPACE
    Filipan, Ivana
    Sipus, Zeljka Milin
    Gajcic, Ljiljana Primorac
    RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, 2023, 27 (555): : 219 - 230
  • [30] ON THE GAUSS CURVATURE OF MAXIMAL SURFACES IN THE 3-DIMENSIONAL LORENTZ-MINKOWSKI SPACE
    ESTUDILLO, FJM
    ROMERO, A
    COMMENTARII MATHEMATICI HELVETICI, 1994, 69 (01) : 1 - 4
12345