Spacelike ruled surfaces with stationary Disteli-axis-Reference-Cited by-同舟云学术

Spacelike ruled surfaces with stationary Disteli-axis

Published:2023 Issue:4 Volume:8 Page:7840-7855
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mofarreh Fatemah¹,Abdel-Baky Rashad A.²

Affiliation:

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

2. Department of Mathematics, Faculty of Science, University of Assiut, 71516 Assiut, Egypt

Abstract

<abstract><p>This paper derives the expressions for spacelike ruled surfaces with stationary Disteli-axis by means of the E. Study map. This provides the ability to compute a set of Lorentzian curvature functions which define the local shape of spacelike ruled surfaces. Consequently, some well-known formulae of surface theory at Lorentzian line space and their geometrical explanations are obtained and examined. Lastly, a characterization for a spacelike line trajectory to be a constant Disteli-axis is derived and investigated in detail.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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