Elliptic motion on dual hyperbolic unit sphere over(H, ∼)02

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2009

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Abstract

Planar and spherical elliptic motions had been introduced by Karger and Novák [A. Karger, J. Novák, Space Kinematics and Lie Groups, Gordon and Breach Science Publishers, New York, London, 1985]. Also, a dual spherical elliptic motion has been defined by Yapar [Z. Yapar, Spatial conchoidal and elliptic motions, Mechanism and Machine Theory 27 (1) (1992) 75-91]. In this paper, we define the elliptic motion on a dual hyperbolic unit sphere over(H, ∼)02 in the dual Lorentzian space D13 with dual signature (+, +, -) and carry the results to the Lorentzian line space IR13 by means of Study's mapping. © 2008 Elsevier Ltd. All rights reserved.

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Recursive functions , Robotics , Dual hyperbolic angle , Dual hyperbolic unit sphere , Dual lorentzian spaces , Dual signatures , E. Study's mapping , Elliptic motion , Lie groups , Lorentzian lines , New york , Spheres

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http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18717

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