"On the Geometry of Spaces of Oriented Geodesics." by Dmitri V. Alekseevsky, Brendan Guilfoyle et al.
 

Document Type

Article

Publication Details

Annals of Global Analysis and Geometry

© 2011 The Authors.

Abstract

Let M be either a simply connected pseudo-Riemannian space of constant curvature or a rank one Riemannian symmetric space other than OH2 , 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)K¨ahler structure on L(M).

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