Position Vector of a Partially Null Curve Derived from a Vector Differential Equation

In this paper, position vector of a partially null unit speed curve with respect to standard frame of Minkowski space-time is studied. First, it is proven that position vector of every partially null unit speed curve satisfies a vector differential equation of fourth order. In terms of solution of the differential equation, position vector of a partially null unit speed curve is expressed.

• Süha Yılmaz
• Emin Özyılmaz
• Melih Turgut
• Şuur Nizamoğlu

• Frenet Equations
• Partially Null Curves
• Minkowski Space-time
• Vector Differential Equation.

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