On the Characterizations of Spacelike Curves in R_1^4

Muslum Aykut AKGUN, Ali Ihsan SIVRIDAG


In this paper, we study the position vectors of a spacelike curve in the Minkowski 4-space. We give some characterizations for spacelike curves to lie on some subspaces and give some theorems for these curves. We give spacelike curves in terms of their curvature functions. By using these equations we give the position vectors of spacelike curves in terms of their curvature functions  and in 4-dimensional Minkowski space.

Keywords: Spacelike curve, Frenet Frame, Minkowski Spacetime, Subspace, Curvature functions.

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