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Research Article | Open Access

On the Blaschke approach of Bertrand offsets of spacelike ruled surfaces

Maryam T. Aldossary1, Rashad A. Abdel-Baky2( )
Department of Mathematics, College of Science, Imam Abdulrahman bin Faisal University, P.O. Box-1982, 31441 Damam, Saudi Arabia
Department of Mathematics, Faculty of Science, University of Assiut, 71516 Assiut, Egypt
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Abstract

In this paper using the Blaschke approach we generalized the Bertrand curves to spacelike ruled and developable surfaces. It is proved that, every spacelike ruled surface have a Bertrand offset if and only if an equation should be fulfilled among their dual integral invariants. Consequently, some new relationships and theorems for the developability of the Bertrand offsets of spacelike ruled surfaces are outlined.

Keywords

E. Study mapBertrand offsetsstriction curves
CLC number: 53A04, 53A05, 53A17

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AIMS Mathematics
Volume 7 Issue 10,
October 2022
Pages 17843-17858
DOI: 10.3934/math.2022983

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Cite this article:
Aldossary MT, Abdel-Baky RA. On the Blaschke approach of Bertrand offsets of spacelike ruled surfaces. AIMS Mathematics, 2022, 7(10): 17843-17858. https://doi.org/10.3934/math.2022983

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Received: 05 May 2022
Revised: 23 June 2022
Accepted: 13 July 2022
Published: 15 October 2022
©2022 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)