Bollettino della unione matematica italiana vol:8B issue:3 pages:685-696
The notion of,hyperbolic. angle between any two time-like directions in the Lorentzian plane L-2 was properly defined and studied by Birman and Nomizu [1,2]. In this article, we define the notion of hyperbolic angle between any two non-null directions in L-2 and we define a measure on the set of these hyperbolic angles. As an application, we extend Scofield's work on the Euclidean curves of constant precession  to the Lorentzian setting, thus expliciting space-like curves in L-3 whose natural equations express their curvature and torsion as elementary eigenfunctions of their Laplacian.