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
  • [31] Slant Ruled Surfaces and Slant Developable Surfaces of Spacelike Curves in Lorentz-Minkowski 3-space
    Yildirim, Handan
    FILOMAT, 2018, 32 (14) : 4875 - 4895
  • [32] Heinz-type mean curvature estimates in Lorentz-Minkowski space
    Honda, Atsufumi
    Kawakami, Yu
    Koiso, Miyuki
    Tori, Syunsuke
    REVISTA MATEMATICA COMPLUTENSE, 2021, 34 (03): : 641 - 651
  • [33] Heinz-type mean curvature estimates in Lorentz-Minkowski space
    Atsufumi Honda
    Yu Kawakami
    Miyuki Koiso
    Syunsuke Tori
    Revista Matemática Complutense, 2021, 34 : 641 - 651
  • [34] SPACELIKE RADIAL GRAPHS OF PRESCRIBED MEAN CURVATURE IN THE LORENTZ-MINKOWSKI SPACE
    Bonheure, Denis
    Iacopetti, Alessandro
    ANALYSIS & PDE, 2019, 12 (07): : 1805 - 1842
  • [35] Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space
    Sipus, Zeljka Milin
    Gajcic, Ljiljana Primorac
    Protrka, Ivana
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2020, 28 (03): : 229 - 240
  • [36] Envelopes of circles and spacelike curves in the Lorentz-Minkowski 3-space
    Pacheco, Rui
    Santos, Susana D.
    FORUM MATHEMATICUM, 2020, 32 (03) : 693 - 711
  • [37] Stationary surfaces in Lorentz-Minkowski space
    Lopez, Rafael
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2008, 138 : 1067 - 1096
  • [38] ON LORENTZ GCR SURFACES IN MINKOWSKI 3-SPACE
    Fu, Yu
    Yang, Dan
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 227 - 245
  • [39] WAVE SURFACES IN LORENTZ-MINKOWSKI SPACE
    FLAHERTY, FJ
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 284 (09): : 521 - 523
  • [40] Umbilics of Surfaces in the Lorentz–Minkowski 3-Space
    Naoya Ando
    Masaaki Umehara
    Results in Mathematics, 2023, 78
12345