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

By Süha Yılmaz, Emin Özyılmaz and Melih Turgut

Abstract

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

Topics: Partially Null Curves, Minkowski Space-time, Vector Differential Equation
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.60
Provided by: CiteSeerX
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