On the curvatures of spacelike circular surfaces

Kuwait Journal of Science

Rashad A. Abdel-Baky²  Yasin Ãœnlütürk¹ 

[1] Dept. of Mathematics, Faculty of Art and Science, Kırklareli University, 39100, Kırklareli, Turkey;Dept. of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, P.O. Box 126300, Jeddah 21352, Saudi Arabia

关键词: Ruled surface;    singularities;    spacelike canal surface;    spacelike circular surface;    spacelike roller coaster surface.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

In this paper a complete system of invariants is presented to study spacelike circular surfaces with fixed radius. Thestudy of spacelike circular surfaces is simplified to the study of two curves: the Lorentzian spherical indicatrix of theunit normals of circle planes and the spacelike spine curve. Then the geometric meanings of these invariants are used togive corresponding properties of spacelike circular surfaces with classical ruled surfaces. Later, we introduce spacelikeroller coaster surfaces as a special class of spacelike circular surfaces.

【 授权许可】

Unknown