On the structure of infinitesimal almost projective transformations in the tangent bundle of a general space of paths

Abstract

We establish necessary conditions for a vector field on the tangent bundle of a general space of paths to be an infinitesimal almost projective transformation in the case when the tensor fields determining the complexes of autoparallel curves are Yano-Okubo-Kagan complete lifts of tensor fields from the base manifold. © 2010 Allerton Press, Inc.