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Characterizations Of Some Special Space-Like Curves In Minkowski Space-Time

Melih Turğut, Süha Yılmaz

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Abstract

In this work, a system of differential equation on Minkowski space-time, a special case of Smarandache geometries, whose solution gives the components of a space-like curve on Frenet axis is constructed by means of Frenet equations. In view of some special solutions of this system, characterizations of some special space-like curves are presented.

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What this paper is about

In this work, a system of differential equation on Minkowski space-time, a special case of Smarandache geometries, whose solution gives the components of a space-like curve on Frenet axis is constructed by means of Frenet equations. In view of some special solutions of this system, characterizations of some special space-like curves are presented.

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Available abstract

In this work, a system of differential equation on Minkowski space-time, a special case of Smarandache geometries, whose solution gives the components of a space-like curve on Frenet axis is constructed by means of Frenet equations. In view of some special solutions of this system, characterizations of some special space-like curves are presented.

Key concepts: Frenet–Serret formulas, Minkowski space, Space (punctuation), Mathematics, Mathematical analysis, Differential equation, Work (physics), Differential geometry

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