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Research Article | Open Access

Geometry of the line space associated to a given dual ruled surface

Rawya A. Hussein1, Ali A. Ali2( )
Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt
Department of Mathematics, College of Science and Arts, AlMithnab, Qassim University, Buridah 51931, Saudi Arabia
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Abstract

As a continuation to our results in [1], we study the dual ruled surface defined on the set of dual numbers. The idea of the dual part are defined similar to quaternion space. The dual part of this represents a ruled dual submanifold. The geometric properties of their dual parts are investigated. Some examples are given and plotted.

Keywords

line spacedual spacedual sphereruled surfaces
CLC number: 53A10, 53A25, 53C50

References

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 8542-8557
DOI: 10.3934/math.2022476

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Hussein RA, Ali AA. Geometry of the line space associated to a given dual ruled surface. AIMS Mathematics, 2022, 7(5): 8542-8557. https://doi.org/10.3934/math.2022476

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Received: 09 December 2021
Revised: 06 February 2022
Accepted: 14 February 2022
Published: 15 May 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)