Research ArticleNo Access

A construction of timelike ruled surfaces in Minkowski three-space $𝔼_{1}^{3}$

Science and Arts College, Rabigh Campus, King Abdulaziz University, Jeddah, Saudi Arabia

and

Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh 11546, Saudi Arabia

E-mail Address: fyalmofarrah@pnu.edu.sa

Corresponding author.

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https://doi.org/10.1142/S1793557121501618Cited by:0 (Source: Crossref)

Abstract

In this work, by using the E. Study map, we construct timelike ruled surfaces with constant Disteli-axis based upon the curvature theory of dual hyperbolic (respectively, Lorentzian) spherical curves which match to timelike ruled surfaces in Minkowski 3-space $𝔼_{1}^{3}$ . Meanwhile, some well-known formulae of surfaces theory into line space and their geometrical explanations are investigated.

Communicated by I. Inam

Keywords:

AMSC: 53A04, 53A05, 53A17

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