%0 Journal Article
%T On the Geometry of Spaces of Oriented Geodesics
%A Dmitri V. Alekseevsky
%A Brendan Guilfoyle
%A Wilhelm Klingenberg
%J Mathematics
%D 2009
%I arXiv
%X Let M be either a simply connected pseudo-Riemannian space of constant curvature or a rank one Riemannian symmetric space (other than the octonion hyperbolic plane), and consider the space L(M) of oriented geodesics of M. The space L(M) is a smooth homogeneous manifold and in this paper we describe all invariant symplectic structures, (para)complex structures, pseudo-Riemannian metrics and (para)Kaehler structure on L(M).
%U http://arxiv.org/abs/0911.2602v1