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
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
  • [1] Embedded Triply Periodic Zero Mean Curvature Surfaces of Mixed Type in Lorentz-Minkowski 3-Space
    Fujimori, Shoichi
    Rossman, Wayne
    Umehara, Masaaki
    Yamada, Kotaro
    Yang, Seong-Deog
    MICHIGAN MATHEMATICAL JOURNAL, 2014, 63 (01) : 189 - 207
  • [2] CAUSAL CHARACTERS OF ZERO MEAN CURVATURE SURFACES OF RIEMANN TYPE IN THE LORENTZ-MINKOWSKI 3-SPACE
    Akamine, Shintaro
    KYUSHU JOURNAL OF MATHEMATICS, 2017, 71 (02) : 211 - 249
  • [3] Compact spacelike surfaces with constant mean curvature in the Lorentz-Minkowski 3-space
    Alías, LJ
    López, R
    Pastor, JA
    TOHOKU MATHEMATICAL JOURNAL, 1998, 50 (04) : 491 - 501
  • [4] On the Gaussian curvature of timelike surfaces in Lorentz-Minkowski 3-space
    Mazlum, Sumeyye Gur
    FILOMAT, 2023, 37 (28) : 9641 - 9656
  • [5] ENTIRE ZERO-MEAN CURVATURE GRAPHS OF MIXED TYPE IN LORENTZ-MINKOWSKI 3-SPACE
    Fujimori, Shoichi
    Kawakami, Yu
    Kokubu, Masatoshi
    Rossman, Wayne
    Umehara, Masaaki
    Yamada, Kotaro
    QUARTERLY JOURNAL OF MATHEMATICS, 2016, 67 (04): : 801 - 837
  • [6] Umbilics of Surfaces in the Lorentz-Minkowski 3-Space
    Ando, Naoya
    Umehara, Masaaki
    RESULTS IN MATHEMATICS, 2023, 78 (06)
  • [7] RULED SURFACES IN LORENTZ-MINKOWSKI 3-SPACE
    Manhart, Friedrich
    INTERNATIONAL WORKSHOP ON LINE GEOMETRY & KINEMATICS, IW - LGK - 11, 2011, : 63 - 70
  • [8] CLASSIFICATION OF ZERO MEAN CURVATURE SURFACES OF SEPARABLE TYPE IN LORENTZ-MINKOWSKI SPACE
    Kaya, Seher
    Lopez, Rafael
    TOHOKU MATHEMATICAL JOURNAL, 2022, 74 (02) : 263 - 286
  • [9] Riemann zero mean curvature examples in Lorentz-Minkowski space
    Kaya, Seher
    Lopez, Rafael
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (09) : 5067 - 5085
  • [10] ZERO MEAN CURVATURE SURFACES IN LORENTZ-MINKOWSKI 3-SPACE WHICH CHANGE TYPE ACROSS A LIGHT-LIKE LINE
    Fujimori, S.
    Kim, Y. W.
    Koh, S. -E.
    Rossman, W.
    Shin, H.
    Umehara, M.
    Yamada, K.
    Yang, S. -D.
    OSAKA JOURNAL OF MATHEMATICS, 2015, 52 (01) : 285 - 297