文档介绍：Mechanism and Machine Theory 44 (2009) 1450–1459
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Mechanism and Machine Theory
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Elliptic motion on dual hyperbolic unit sphere H0
Mustafa Kazaz a,*, Ali Özdemir a, H. Hüseyin Ug˘urlu b
a Department of Mathematics, Faculty of Arts and Sciences, University of Celal Bayar, Manisa, Turkey
b Gazi Faculty of Education, Department of Secondary Education Science and Mathematics Teaching, Mathematics Teaching Programme, Ankara, Turkey
article info abstract
Article history: Planar and spherical elliptic motions had been introduced by Karger and Novák [A. Karger,
Received 30 November 2006 J. Novák, Space Kinematics and Lie Groups, Gordon and Breach Science Publishers, New
Received in revised form 17 November 2008 York, London, 1985]. Also, a dual spherical elliptic motion has been defined by Yapar
Accepted 24 November 2008
[Z. Yapar, Spatial conchoidal and elliptic motions, Mechanism and Machine Theory 27
Available online 13 January 2009
(1) (1992)e 75–91]. In this paper, we define the elliptic motion on a dual hyperbolic unit
2 3
sphere H0 in the dual Lorentzian space D1 with dual signature (+,+,À) and carry the results
to the Lorentzian line space IR3 by means of Study’s mapping.
Keywords: 1
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Elliptic motion
Dual hyperbolic unit sphere
Dual