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2022 Time-like Ruled Surface in One-Parameter Hyperbolic Dual Spherical Motions
Monia F. Naghi, Rashad A. Abdel-Baky, Fatemah Mofarreh
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Abstr. Appl. Anal. 2022: 1-10 (2022). DOI: 10.1155/2022/9323490

Abstract

In this work, we introduce a time-like ruled surface in one-parameter hyperbolic dual spherical motions. This provides the ability to derive some formulae of surface theory into line spaces. Then, a time-like Plücker conoid associated with the motion has been obtained, and its kinematic geometry is researched in detail. Consequently, a characterization for a time-like ruled surface to be a constant Disteli-axis is derived and investigated in detail. At last, we have discussed some special cases which lead to some special time-like ruled surfaces such as the time-like helicoids, Lorentzian sphere, and time-like cone.

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Monia F. Naghi. Rashad A. Abdel-Baky. Fatemah Mofarreh. "Time-like Ruled Surface in One-Parameter Hyperbolic Dual Spherical Motions." Abstr. Appl. Anal. 2022 1 - 10, 2022. https://doi.org/10.1155/2022/9323490

Information

Received: 16 October 2021; Accepted: 6 December 2021; Published: 2022
First available in Project Euclid: 28 July 2022

Digital Object Identifier: 10.1155/2022/9323490

Rights: Copyright © 2022 Hindawi

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