Time‐like Ruled Surface in One‐Parameter Hyperbolic Dual Spherical Motions

Monia F. Naghi, Rashad A. Abdel-Baky and Fatemah Mofarreh

Abstract and Applied Analysis, 2022, vol. 2022, issue 1

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.

Date: 2022
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https://doi.org/10.1155/2022/9323490

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2022:y:2022:i:1:n:9323490

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