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2018•Zenodo (CERN European Organization for Nuclear Research)Open access

On The Characterizations Of Spacelike Curves In R_1^4

M. Aykut Akgün, Ali İhsan Sivridağ

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Frenet–Serret formulas, Minkowski space, Curvature, Mathematical analysis, Position (finance), Mathematics, Mathematical physics, Moving frame

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