Title: Curves in Lorentzian spaces
Authors: Nesovic, E ×
Petrovic-Torgasev, M
Verstraelen, Leopold #
Issue Date: 2005
Publisher: Unione mat ital
Series Title: Bollettino della unione matematica italiana vol:8B issue:3 pages:685-696
Abstract: 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 express their curvature and torsion as elementary eigenfunctions of their Laplacian.
ISSN: 0392-4033
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Geometry Section
× corresponding author
# (joint) last author

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