**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31103

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

**Authors:**
Süha Yılmaz,
Emin Özyılmaz,
Melih Turgut,
Şuur Nizamoğlu

**Abstract:**

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.

**Keywords:**
Frenet Equations,
Partially Null Curves,
Minkowski Space-time,
Vector Differential Equation

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1059869

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