Izv. Vyssh. Uchebn. Zaved. Mat., 2010 Number 10,Pages 73–76(Mi ivm7142)
Brief communications
Generating infinitesimal almost projective transformations in the tangent bundle of a generalized path space by projective transformations of the base manifold
Abstract:
We obtain conditions under which an almost projective infinitesimal transformation on the tangent bundle of a general space of paths is a Yano–Okubo–Kagan complete lift of an infinitesimal projective transformation of a base manifold.
Keywords:infinitesimal almost projective transformations, general space of paths, tangent bundle, Yano–Okubo–Kagan lift.