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.