GEOMETRIC CHARACTERIZATIONS OF CANAL SURFACES IN MINKOWSKI 3-SPACE I

被引:5
|
作者
Fu, Xueshan [1 ]
Jung, Seoung Dal [2 ]
Qian, Jinhua [1 ]
Su, Mengfei [1 ]
机构
[1] Northeastern Univ, Dept Math, Shenyang 110004, Liaoning, Peoples R China
[2] Jeju Natl Univ, Dept Math, Jeju 63243, South Korea
基金
新加坡国家研究基金会;
关键词
Minkowski; 3-space; canal surface; pseudo sphere; linear Weingarten surface;
D O I
10.4134/BKMS.b180643
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The canal surfaces foliated by pseudo spheres S-1(2) along a space curve in Minkowski 3-space are studied. The geometric properties of such surfaces are shown by classifying the linear Weingarten canal surfaces, the developable, minimal and umbilical canal surfaces are discussed at the same time.
引用
收藏
页码:867 / 883
页数:17
相关论文
共 50 条
  • [41] Spacelike Sweeping Surfaces and Singularities in Minkowski 3-Space
    Mofarreh, Fatemah
    Abdel-Baky, Rashad A.
    Alluhaibi, Nadia
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [42] ON THE SECOND KIND TWISTED SURFACES IN MINKOWSKI 3-SPACE
    Grbovic, Milica
    Nesovic, Emilija
    Pantic, Anica
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2015, 8 (02): : 9 - 20
  • [43] BERTRAND CURVES AND RAZZABONI SURFACES IN MINKOWSKI 3-SPACE
    Xu, Chuanyou
    Cao, Xifang
    Zhu, Peng
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (02) : 377 - 394
  • [44] A study on timelike circular surfaces in Minkowski 3-space
    Abdel-Baky, Rashad A.
    Alluhaibi, Nadia
    Ali, Akram
    Mofarreh, Fatemah
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (06)
  • [45] On the Gauss map of translation surfaces in Minkowski 3-space
    Yoon, DW
    TAIWANESE JOURNAL OF MATHEMATICS, 2002, 6 (03): : 389 - 398
  • [46] Umbilics of Surfaces in the Lorentz-Minkowski 3-Space
    Ando, Naoya
    Umehara, Masaaki
    RESULTS IN MATHEMATICS, 2023, 78 (06)
  • [47] HENNEBERG'S ALGEBRAIC SURFACES IN MINKOWSKI 3-SPACE
    Gueler, Erhan
    Zambak, Vahit
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1761 - 1773
  • [48] HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE
    Choi, Miekyung
    Kim, Young Ho
    Liu, Huili
    Yoon, Dae Won
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (04) : 859 - 881
  • [49] Singularities for Timelike Developable Surfaces in Minkowski 3-Space
    Li, Yanlin
    Chen, Zhizhi
    Nazra, Sahar H. H.
    Abdel-Baky, Rashad A. A.
    SYMMETRY-BASEL, 2023, 15 (02):
  • [50] HELICOIDAL CDPC-SURFACES IN MINKOWSKI 3-SPACE
    Ji, Fenghui
    Kim, Young Ho
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2010, 7 (06) : 979 - 988