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Research Article | Open Access

Spacelike ruled surfaces with stationary Disteli-axis

Fatemah Mofarreh1, Rashad A. Abdel-Baky2( )
Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh 11546 Saudi Arabia
Department of Mathematics, Faculty of Science, University of Assiut, 71516 Assiut, Egypt
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Abstract

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.

Keywords

Disteli-axisSerret-Frenet motionstriction curve
CLC number: 53A04, 53A05, 53A17

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 7840-7855
DOI: 10.3934/math.2023394

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Cite this article:
Mofarreh F, Abdel-Baky RA. Spacelike ruled surfaces with stationary Disteli-axis. AIMS Mathematics, 2023, 8(4): 7840-7855. https://doi.org/10.3934/math.2023394

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Received: 15 October 2022
Revised: 19 December 2022
Accepted: 09 January 2023
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)