Abstract
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 < B-2, U > is constant and we give different characterizations of such curves.