Abstract:
We obtain the necessary conditions for a vector field on a tangent bundle to be an infinitesimal almost projective transformation of a general path space in the case when sets of autoparallel curves are the Yano–Okubo–Kagan natural lift of tensor fields of the base manifold.
Keywords:infinitesimal almost projective transformation, general path space, tangent bundle, Yano–Okubo–Kagan natural lift.