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On The Curvature Motion

Name: On The Curvature Motion
Creator: YAPAR, Ziya
Keywords: Matematik, Differential geometric aspects in kinematics, special motion, dual unit sphere, 0103 physical sciences, spherical slider-crank motion, 0101 mathematics, Curvature Motion;Spherical curvature;Statistics, 01 natural sciences, Mathematical Sciences

On the curvature motion

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1989Publisher:Communications Faculty of Sciences University of Ankara Series A1 Mathematics and StatisticsJournal:Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics (eissn: 1303-5991,

Authors: YAPAR, Ziya;

doi: 10.1501/commua1_0000000309

On The Curvature Motion

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Abstract

A special motion of the dual unit sphere is studied and then with help of the Study map interpreted in the space of lines of three-dimensional Euclidean space. The motion is defined so that two points of the moving dual unit sphere are restricted to move on two circles. This gives a generalisation of a spherical slider-crank motion. The tree line congruences which are the Study maps of the paths of endpoints of the moving frame are studied.

Related Organizations

Karadeniz Technical University
Turkey

Keywords

Matematik, Differential geometric aspects in kinematics, special motion, dual unit sphere, spherical slider-crank motion, Curvature Motion;Spherical curvature;Statistics, Mathematical Sciences, Study map

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