In this paper, we study the equiform Bishop formulae for the equiform timelike curves in3-dimensional Minkowski space where the equiform timelikespherical curves are defined accord-ing to the equiform Bishop frame. We establish a necessary and sufficient condition for an equiformtimelike curve to be an equiform timelike spherical curve. Furthermore, we give certain character-izations of equiform spherical curves in 3-dimensional Minkowski space, which are timelike withan equiform spacelike principal normal vector.
Timelike spherical curves according to equiform Bishop framein 3-dimensional Minkowski space
Cesarano C.;Dmytryshyn R.
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2023-01-01
Abstract
In this paper, we study the equiform Bishop formulae for the equiform timelike curves in3-dimensional Minkowski space where the equiform timelikespherical curves are defined accord-ing to the equiform Bishop frame. We establish a necessary and sufficient condition for an equiformtimelike curve to be an equiform timelike spherical curve. Furthermore, we give certain character-izations of equiform spherical curves in 3-dimensional Minkowski space, which are timelike withan equiform spacelike principal normal vector.File in questo prodotto:
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