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The differential geometry of curves on a hypersphere inthe Euclidean space reflects instantaneous properties of spherecalmotion. In this work, we give some results for differential geometry ofspacelike curves in 3-dimensional de-Sitter space. Also, we study the Frenetreference frame, the Frenet equations, and the geodesic curvature and torsionfunctions to analyze and characterize the shape of the curves in 3-dimensionalde-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.





Autor: Tunahan Turhan, Nihat Ayyildiz

Fuente: http://www.scirp.org/



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