1997University of Zagreb University Computing Centre (SRCE)Open access

The general solution of the Frenet system of differential equations for curves in the pseudo-Galilean space { G^1_3}

Blaženka Divjak

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Abstract

In this paper the general solution of the Frenet system of differential equations for curves in the pseudo-Galilean space is given.The analogous result in the isotropic (pseudotropic), doubly isotropic and Galilean space are obtained in [3], [4], and [5].Such result is still unknown in the Euclidean space.There is one particular solution for the Euclidean case in [1] and three particular solutions in [2].

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In this paper the general solution of the Frenet system of differential equations for curves in the pseudo-Galilean space is given.The analogous result in the isotropic (pseudotropic), doubly isotropic and Galilean space are obtained in [3], [4], and [5].Such result is still unknown in the Euclidean space.There is one particular solution for the Euclidean case in [1] and three particular solutions in [2].

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Available abstract

In this paper the general solution of the Frenet system of differential equations for curves in the pseudo-Galilean space is given.The analogous result in the isotropic (pseudotropic), doubly isotropic and Galilean space are obtained in [3], [4], and [5].Such result is still unknown in the Euclidean space.There is one particular solution for the Euclidean case in [1] and three particular solutions in [2].

Key concepts: Frenet–Serret formulas, Galilean, Mathematics, Mathematical analysis, Space (punctuation), Differential (mechanical device), Physics, Geometry

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