Elliptic motion on dual hyperbolic unit sphere

✍ Scribed by Mustafa Kazaz; Ali Özdemir; H. Hüseyin Uğurlu

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 413 KB
• Volume: 44
• Category: Article
• ISSN: 0094-114X
• DOI: 10.1016/j.mechmachtheory.2008.11.006

✦ Synopsis

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 e H 2 0 in the dual Lorentzian space D 3 1 with dual signature (+, +, À) and carry the results to the Lorentzian line space IR 3 1 by means of Study's mapping.