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ON GEOMETRY OF SIMILARITY KINEMATIC MOTION OF PEAR-SHAPED QUARTIC
Journal article

ON GEOMETRY OF SIMILARITY KINEMATIC MOTION OF PEAR-SHAPED QUARTIC

Ibrahim Al-Dayel
JP journal of algebra, number theory and applications, Vol.46(2), pp.195-207
20/05/2020

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we consider the similarity motions of the pear-shaped curve in the 5-dimensional Euclidean space R-5 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.

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