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Curves in Lorentzian spaces

E. NešovićM. Petrović-TorgaševL. Verstraelen — 2005

Bollettino dell'Unione Matematica Italiana

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 [9] to the Lorentzian setting, thus expliciting space-like curves in L 3 whose natural equations...

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