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VOL. 48 | 2007 Path geometries and almost Grassmann structures
Mike Crampin, David J. Saunders

Editor(s) Sorin V. Sabau, Hideo Shimada

Abstract

Any path geometry, or projective equivalence class of sprays, on an $n$-dimensional manifold $M$ is naturally associated with an almost Grassmann structure on a $2n$-dimensional fibre bundle over that manifold. The almost Grassmann structure has special properties when the sprays are isotropic, and when they are geodesic for some Finsler function.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

zbMATH: 1168.53010
MathSciNet: MR2389257

Digital Object Identifier: 10.2969/aspm/04810225

Rights: Copyright © 2007 Mathematical Society of Japan

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