Elementary Approachs on De Sitter Space
Abstract
In this paper, we characterize the de Sitter space by means of spacelike and timelike curves that fully
lies on it. For this purpose, we consider the tangential part of the second derivative of the unit speed
curve on the hypersurface, and obtain the vector equations of the geodesics. We find the geodesics as
hyperbolas, ellipses, and helices. Moreover, we give an example of null curve with constant curvature in
4−dimensional Minkowski space and we illustrate the geodesics of S11(r) × R .
Keywords
References
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