%0 Journal Article
%T Some Results on the Differential Geometry of Spacelike Curves in De-Sitter Space
%A Tunahan Turhan
%A Nihat Ayyildiz
%J Journal of Applied Mathematics and Physics
%P 55-59
%@ 2327-4379
%D 2013
%I Scientific Research Publishing
%R 10.4236/jamp.2013.13009
%X <p class=\"MsoNormal\">
	<span lang=\"EN-US\" style=\"font-family:Verdana;\">The differential geometry of curves on a hypersphere in
the Euclidean space reflects instantaneous properties of sphere</span><span lang=\"EN-US\" style=\"font-family:Verdana;\">cal
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.</span> 
</p>
%K De-Sitter Space
%K Frenet Equations
%K Frenet Reference Frame
%K Geodesic Curvature and Torsion
%K Local Canonical Form
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=37200