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.

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 3 of 3

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 $E^{4}$ .

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

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