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.
;
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.
2023
Minkowski space, Bishop frame, spherical curve, equiform curvature
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/4101
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