On the Structure of Infinitesimal Almost Projective Transformations in the Tangent Bundle of a General Space of Paths

摘要

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.