Timelike Circular Surfaces and Singularities in Minkowski 3-Space

被引：34
|
作者：
Li, Yanlin [1 ]
Mofarreh, Fatemah [2 ]
Abdel-Baky, Rashad A. [3 ]
机构：
[1] Hangzhou Normal Univ, Sch Math, Hangzhou 311120, Peoples R China
[2] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Math Sci Dept, Riyadh 11546, Saudi Arabia
[3] Univ Assiut, Fac Sci, Dept Math, Assiut 71516, Egypt
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 09期
基金：
中国国家自然科学基金;
关键词：
striction curve; ingularities; timelike roller coaster surfaces; 4-DIMENSIONAL CR SUBMANIFOLDS; LAGRANGIAN SUBMANIFOLDS;
D O I：
10.3390/sym14091914
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 present paper is focused on time-like circular surfaces and singularities in Minkowski 3-space. The timelike circular surface with a constant radius could be swept out by moving a Lorentzian circle with its center while following a non-lightlike curve called the spine curve. In the present study, we have parameterized timelike circular surfaces and examined their geometric properties, such as singularities and striction curves, corresponding with those of ruled surfaces. After that, a different kind of timelike circular surface was determined and named the timelike roller coaster surface. Meanwhile, we support the results of this work with some examples.
引用
收藏
页数：15
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