Canonical Deformed Groups of Diffeomorphisms and Finite Parallel Transports in Riemannian Spaces

Abstract

We show that finite parallel transports of vectors in Riemannian spaces, determined by the multiplication law in the deformed groups of diffeomorphisms, and sequences of infinitesimal parallel transports of vectors along geodesics are equivalent.

12 pages

References in corpus (1)

• The Group of Parallel Transports in the Riemannian Space