2020•Modern Applied ScienceOpen access

Geometric Properties of Special Spacelike Curves in Three-Dimension Minkowski Space-Time

Emad Solouma, M. M. Wageeda, M. A. Soliman, Mona N. Abdel Bary

Abstract

In this paper, we introduce a special spacelike Smarandache curves reference to the Bishop frame of a regular spacelike curve in Minkowski 3-space . From that point, we investigate the Frenet invariants of a special case in and we obtain some properties of these curves when the base curve is contained in a plane. Lastly, we shall give two examples to illustrate these curves.

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Key concepts: Frenet–Serret formulas, Minkowski space, Dimension (graph theory), Point (geometry), Plane (geometry), Base (topology), Mathematics, Plane curve