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On the Determination of a Time-like Dual Curve in Dual Lorentzian Space

By Emin Özyılmaz

Abstract

Abstract—In this work, position vector of a time-like dual curve according to standard frame of D 3 1 is investigated. First, it is proven that position vector of a time-like dual curve satisfies a dual vector differential equation of fourth order. The general solution of this dual vector differential equation has not yet been found. Due to this, in terms of special solutions, position vectors of some special time-like dual curves with respect to standard frame of D 3 1 are presented

Topics: Dual Numbers, Dual Frenet Equations, Time-like Dual Curve, Position Vector, Dual Lorentzian Space
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.367
Provided by: CiteSeerX
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