Spacelike Circular Surfaces in Minkowski 3-Space

被引：33
|
作者：
Li, Yanlin [1 ]
Aldossary, Maryam T. [2 ]
Abdel-Baky, Rashad A. [3 ]
机构：
[1] Hangzhou Normal Univ, Sch Math, Hangzhou 311120, Peoples R China
[2] Imam Abdulrahman Bin Faisal Univ, Coll Sci, Dept Math, POB 1982, Damam 31441, Saudi Arabia
[3] Univ Assiut, Fac Sci, Dept Math, Assiut 71516, Egypt
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 01期
基金：
中国国家自然科学基金;
关键词：
striction curve; singularities; spacelike roller coaster surfaces; CURVES;
D O I：
10.3390/sym15010173
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The approach of the paper is on spacelike circular surfaces in the Minkowski 3-space. A spacelike circular surface is a one-parameter family of Lorentzian circles with a fixed radius regarding a non-null curve, which acts as the spine curve, and it has symmetrical properties. In the study, we have parametrized spacelike circular surfaces and have provided their geometric and singularity properties such as Gaussian and mean curvatures, comparing them with those of ruled surfaces and the classification of singularities. Furthermore, the conditions for spacelike roller coaster surfaces to be flat or minimal surfaces are obtained. Meanwhile, we support the results of the approach with some examples.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] A note on spacelike surfaces in Minkowski 3-space
    Nistor, Ana Irina
    FILOMAT, 2013, 27 (05) : 843 - 849
  • [2] Spacelike Sweeping Surfaces and Singularities in Minkowski 3-Space
    Mofarreh, Fatemah
    Abdel-Baky, Rashad A.
    Alluhaibi, Nadia
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [3] Geometry of spacelike generalized constant ratio surfaces in Minkowski 3-space
    Yang, Dan
    Fu, Yu
    Li, Lan
    FRONTIERS OF MATHEMATICS IN CHINA, 2017, 12 (02) : 459 - 480
  • [4] ON THE TRANSVERSAL INTERSECTION CURVE OF SPACELIKE AND TIMELIKE SURFACES IN MINKOWSKI 3-SPACE
    Karaahmetoglu, Savas
    Aydemir, Ismail
    JOURNAL OF SCIENCE AND ARTS, 2016, (04): : 345 - 356
  • [5] Geometry of spacelike generalized constant ratio surfaces in Minkowski 3-space
    Dan Yang
    Yu Fu
    Lan Li
    Frontiers of Mathematics in China, 2017, 12 : 459 - 480
  • [6] On the motion of the Frenet vectors and spacelike ruled surfaces in the Minkowski 3-space
    Yayli, Yusuf
    Mathematical and Computational Applications, 2000, 5 (01) : 49 - 55
  • [7] Timelike Circular Surfaces and Singularities in Minkowski 3-Space
    Li, Yanlin
    Mofarreh, Fatemah
    Abdel-Baky, Rashad A.
    SYMMETRY-BASEL, 2022, 14 (09):
  • [8] 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)
  • [9] Tubular surfaces of center curves on spacelike surfaces in Lorentz-Minkowski 3-space
    Hu, Shichang
    Wang, Zhigang
    Tang, Xiaoqing
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (09) : 3136 - 3166
  • [10] Spacelike developable surfaces through a common line of curvature in Minkowski 3-space
    Li, Cai-Yun
    Zhu, Chun-Gang
    Wang, Ren-Hong
    JOURNAL OF ADVANCED MECHANICAL DESIGN SYSTEMS AND MANUFACTURING, 2015, 9 (04):
12345