Relation between Darboux instantaneous rotation vectors of curves on a time-like surface

Abstract

In this study, a fundamental relation , as a base for the geometry of the time-like surfaces, among the Darboux vectors of an arbitrary time-like curve (c) on a time-like surface and the parameter curves $(c_1)$ and $(c_2)$ in the Minkowski 3-space $R_1^3$ was founded.