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
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 04期
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
  • [21] Spacelike Circular Surfaces in Minkowski 3-Space
    Li, Yanlin
    Aldossary, Maryam T.
    Abdel-Baky, Rashad A.
    SYMMETRY-BASEL, 2023, 15 (01):
  • [22] TIMELIKE SURFACES OF EVOLUTION IN MINKOWSKI 3-SPACE
    Yavuz, Yunus
    Yazla, Aziz
    Sariaydin, Muhammed T.
    JOURNAL OF SCIENCE AND ARTS, 2020, (03): : 611 - 626
  • [23] Surfaces in Minkowski 3-space and harmonic maps
    Inoguchi, JI
    HARMONIC MORPHISMS, HARMONIC MAPS, AND RELATED TOPICS, 2000, 413 : 249 - 270
  • [24] Ruled Weingarten surfaces in Minkowski 3-space
    Franki Dillen
    Wolfgang Kühnel
    manuscripta mathematica, 1999, 98 : 307 - 320
  • [25] ON LORENTZ GCR SURFACES IN MINKOWSKI 3-SPACE
    Fu, Yu
    Yang, Dan
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 227 - 245
  • [26] On the geodesics of tubular surfaces in Minkowski 3-space
    Karacan, Murat Kemal
    Yayli, Yusuf
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2008, 31 (01) : 1 - 10
  • [27] Umbilics of Surfaces in the Lorentz–Minkowski 3-Space
    Naoya Ando
    Masaaki Umehara
    Results in Mathematics, 2023, 78
  • [28] A Note on Parametric Surfaces in Minkowski 3-Space
    Ozturk, Esra Betul Koc
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [29] Mobius inversion of surfaces in the Minkowski 3-space
    Fernandes, Marco Antonio do Couto
    JOURNAL OF GEOMETRY AND PHYSICS, 2023, 190
  • [30] A note on spacelike surfaces in Minkowski 3-space
    Nistor, Ana Irina
    FILOMAT, 2013, 27 (05) : 843 - 849
12345