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

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

Abstract and Applied Analysis, 2022, vol. 2022, 1-10

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:9323490

DOI: 10.1155/2022/9323490

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