Timelike $B_2$-slant helices in Minkowski space $E_1^4$

Details Timelike $B_2$-slant helices in Minkowski space $E_1^4$ Timelike $B_2$-slant helices in Minkowski space $E_1^4$

2008-10-08

arxiv.org/abs/0810.1460v1

Mathematics

Differential Geometry

10 pages

Scientific paper

We consider a unit speed timelike curve $\alpha$ in Minkowski 4-space $E_1^4$ and denote the Frenet frame of $\alpha$ by $\{T,N,B_1,B_2\}$. We say that $\alpha$ 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 $$ is constant and we give different characterizations of such curves.

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