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Timelike spherical curves according to equiform Bishop frame in 3-dimensional Minkowski space
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In this paper, we study the equiform Bishop formulae for the equiform timelike curves in 3-dimensional Minkowski space where the equiform timelike spherical curves are defined according to the equiform Bishop frame. We establish a necessary and sufficient condition for an equiform timelike curve to be an equiform timelike spherical curve. Furthermore, we give certain characterizations of equiform spherical curves in 3-dimensional Minkowski space, which are timelike with an equiform spacelike principal normal vector.
Vasyl Stefanyk Precarpathian National University
Title: Timelike spherical curves according to equiform Bishop frame in 3-dimensional Minkowski space
Description:
In this paper, we study the equiform Bishop formulae for the equiform timelike curves in 3-dimensional Minkowski space where the equiform timelike spherical curves are defined according to the equiform Bishop frame.
We establish a necessary and sufficient condition for an equiform timelike curve to be an equiform timelike spherical curve.
Furthermore, we give certain characterizations of equiform spherical curves in 3-dimensional Minkowski space, which are timelike with an equiform spacelike principal normal vector.
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