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

KAZAZ M., ÖZDEMİR A., Hüseyin Uǧurlu H.

Mechanism and Machine Theory, cilt.44, sa.7, ss.1450-1459, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 7
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.mechmachtheory.2008.11.006
  • Dergi Adı: Mechanism and Machine Theory
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1450-1459
  • Anahtar Kelimeler: Elliptic motion, Dual hyperbolic unit sphere, Dual hyperbolic angle, E. Study's mapping
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.