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 JAMP  Vol.1 No.3 , August 2013
Some Results on the Differential Geometry of Spacelike Curves in De-Sitter Space
Tunahan Turhan*, Nihat Ayyildiz
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Abstract: The differential geometry of curves on a hypersphere in the Euclidean space reflects instantaneous properties of spherecal motion. In this work, we give some results for differential geometry of spacelike curves in 3-dimensional de-Sitter space. Also, we study the Frenet reference frame, the Frenet equations, and the geodesic curvature and torsion functions to analyze and characterize the shape of the curves in 3-dimensional de-Sitter space.
Keywords: De-Sitter Space; Frenet Equations; Frenet Reference Frame; Geodesic Curvature and Torsion; Local Canonical Form
Cite this paper: Turhan, T. and Ayyildiz, N. (2013) Some Results on the Differential Geometry of Spacelike Curves in De-Sitter Space. Journal of Applied Mathematics and Physics, 1, 55-59. doi: 10.4236/jamp.2013.13009.
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