Bulletin of the
Korean Mathematical Society BKMS

In this paper, using pseudo-spherical Frenet frame of pseudo-spherical curves in hyperbolic space, we define the notion of the structure functions on the non-developable ruled surfaces with timelike ruling. Then we obtain the properties of the structure functions and a complete classification of the non-developable ruled surfaces with timelike ruling in Minkowski 3-space by the theories of the structure functions.

Keywords: pseudo-spherical curve, Frenet formula, ruled surface, structure function, pitch function

MSC numbers: 53A35, 53A55, 53B30