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

In this work, position vector of a time-like dual curve according to standard frame of D31 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 D31 are presented.

Authors:

• Emin Özyılmaz

Keywords:

• Classical Differential Geometry
• Dual Numbers
• DualFrenet Equations
• Time-like Dual Curve
• Position Vector
• DualLorentzian Space.

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