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On kinematics and differential geometry of Euclidean submanifolds

2008
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Balkan Journal of Geometry and Its Applications
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unpublished

In this study, we derive the equations of a motion model of two smooth homothetic along pole curves submanifolds M and N ; the curves are trajectories of instantaneous rotation centers at the contact points of these submanifolds. We comment on the homothetic motions, which assume sliding and rolling. M.S.C. 2000: 53A17, 53A05, 53A04. In ([7]), R.Müller has generalized 1-parameter motions in n-dimensional Euclidean space given the equation of the form Y = AX + C, and has investigated the

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