Non-lightlike constant angle ruled surfaces in Minkowski 3-space

被引:17
|
作者
Ali, Ahmad T. [1 ,2 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] Al Azhar Univ, Fac Sci, Math Dept, Cairo 11884, Egypt
关键词
Ruled surfaces; Curves and surfaces of constant slope; Minkowski; 3-space; CLOSED TIME-LIKE; HELICES; CLASSIFICATION;
D O I
10.1016/j.geomphys.2020.103833
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, non-lightlike ruled surfaces of constant slope in Minkowski 3-space with a non-lightlike base curve c(s) = integral (alpha t + beta n + gamma b) ds, where t, n, b are tangent, principal normal and binormal vectors of an arbitrary timelike curve Gamma(s) are investigated. Non-lightlike ruled surfaces of constant slope parallel to a tangent of a timelike general helix and normal of timelike slant helix are studied. It is shown that all non-lightlike ruled surfaces of constant slope are developable but not minimal surfaces. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数:10
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