Some Geometrical Calculations for the Spherical Indicatrices of Involutes of a Timelike Curve in Minkowski 3-Space

doi:10.24297/jam.v5i2.3681

Some Geometrical Calculations for the Spherical Indicatrices of Involutes of a Timelike Curve in Minkowski 3-Space

DOI:

https://doi.org/10.24297/jam.v5i2.3681

Keywords:

Minkowski space, involute evolute curve couple, spherical indicatrices, geodesic curvature

Abstract

In this paper, we introduce the spherical indicatrices of involutes of a given timelike curve. Then we give some important relationships between arc lengths and geodesic curvatures of the base curve and its involutes on E³₁,S²₁ ,H²₀ . Additionally, some important results concerning these curves are given.

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Published

2013-12-23

How to Cite

Some Geometrical Calculations for the Spherical Indicatrices of Involutes of a Timelike Curve in Minkowski 3-Space. (2013). JOURNAL OF ADVANCES IN MATHEMATICS, 5(2), 668–677. https://doi.org/10.24297/jam.v5i2.3681