Contributions to Differential Geometry of Pseudo Null Curves in Semi-Euclidean Space

In this paper, first, a characterization of spherical Pseudo null curves in Semi-Euclidean space is given. Then, to investigate position vector of a pseudo null curve, a system of differential equation whose solution gives the components of the position vector of a pseudo null curve on the Frenet axis is established by means of Frenet equations. Additionally, in view of some special solutions of mentioned system, characterizations of some special pseudo null curves are presented.

Authors:

• Melih Turgut
• Süha Yılmaz

Keywords:

• Semi-Euclidean Space
• Pseudo Null Curves
• Position Vectors.

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