JP Journal of Algebra, Number Theory and Applications
Volume 46, Issue 2, Pages 195 - 207
(May 2020) http://dx.doi.org/10.17654/NT046020195 |
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ON GEOMETRY OF SIMILARITY KINEMATIC MOTION OF PEAR-SHAPED QUARTIC
Ibrahim Al-Dayel
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Abstract: In this paper, we consider the similarity motions of the pear-shaped curve in the 5-dimensional Euclidean space and we study some geometric properties of scalar curvature K for the corresponding surfaces foliated by this motion. Also, we drive some equations which govern the kinematic surfaces. Moreover, we demonstrate that there’s no kinematic surface with non-zero constant K. |
Keywords and phrases: kinematic surface, equiform motion, pear-shaped quartic, scalar curvature.
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