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Position vectors of curves in the galilean space G $_{3}$

Ahmad T. Ali — 2012

Matematički Vesnik

Timelike $B_{2}$ -slant helices in Minkowski space $E_{1}^{4}$

Ahmad T. Ali; Rafael López — 2010

Archivum Mathematicum

We consider a unit speed timelike curve $α$ in Minkowski 4-space $𝐄_{1}^{4}$ and denote the Frenet frame of $α$ by ${𝐓, 𝐍, 𝐁_{1}, 𝐁_{2}}$ . We say that $α$ is a generalized helix if one of the unit vector fields of the Frenet frame has constant scalar product with a fixed direction $U$ of $𝐄_{1}^{4}$ . In this work we study those helices where the function $〈 𝐁_{2}, U 〉$ is constant and we give different characterizations of such curves.

Some characterizations of special curves in the Euclidean space $E^{4}$ .

Turgut, Meli; Ali, Ahmad T. — 2010

Acta Universitatis Sapientiae. Mathematica

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Currently displaying 1 – 3 of 3

Position vectors of curves in the galilean space G 3

Timelike B 2 -slant helices in Minkowski space E 1 4

Some characterizations of special curves in the Euclidean space E 4 .

Position vectors of curves in the galilean space G $_{3}$

Timelike $B_{2}$ -slant helices in Minkowski space $E_{1}^{4}$

Some characterizations of special curves in the Euclidean space $E^{4}$ .