A Survey on Timelike-Spacelike Involute-Evolute Curve Pair

Abstract

A Survey on Timelike-Spacelike Involute-Evolute Curve Pair

Abstract

This paper concentrates on the requirements of being an integral curve for the geodesic spray of the natural lift curves of spherical indicatrices of the timelike-spacelike involute-evolute curve pair in Lorentz 3-space. In addition, the obtained results were supported by one example.

Keywords

• Involute-evolute curve pair
• Lorentz space
• geodesic spray
• spherical indicatrix
• natural lift curve.

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