| Popis: |
It was shown by R. L. Bryant (Houston J. Math. 28 (2002) 221262) that there is a canonical Kahler structure on the space of geodesics of a Finsler manifold whose flag curvature is constant and positive. A different construction is proposed in the present paper, leading instead to a Kahler structure on the slit tangent bundle of the Finsler space; it is based on the identification of an appropriate complex structure. The construction is easily adapted to apply to a Finsler space with constant negative flag curvature, when it gives a para-Kahler rather than a Kahler structure; the properties of this para-Kahler structure are explored. |
