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Karger, A. and Novak, J. (1985) Space Kinematics and Lie Groups (Translated by Michal Basch). Gordon & Breach, New York.

has been cited by the following article:

• TITLE: Curvature Motion on Dual Hyperbolic Unit Sphere H20

  AUTHORS: Ziya Yapar, Yasemin Sağıroğlu

  KEYWORDS: Dual Curvature Motion, Dual Lorentzian Space, Study Mapping

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.8, July 21, 2014

  ABSTRACT: In this paper, we define dual curvature motion on the dual hyperbolic unit sphere H20 in the dual Lorentzian space D31 with dual signature (+,+-) . We carry the obtained results to the Lorentzian line space R31 by means of Study mapping. Then we make an analysis of the orbits during the dual hyperbolic spherical curvature motion. Finally, we find some line congruences, the family of ruled surfaces and ruled surfaces in R31.