Serhiy SAMOKHVALOV
State Technical University,
13-2 Dniprobudivska Str.,
51918 Dniprodzerzhinsk,
UKRAINE,
E-mail: samokhval@dstu.dp.ua, samokhval@rambler.ru

The Group of Parallel Transports in Riemannian Space

Abstract:
We show that there is an infinite group of special automorphisms of the group of deformed diffeomorphisms, which describes parallel transports in Riemannian spaces of any variable curvature. Generators of translations of such group contain the covariant derivatives, and structural functions - the curvature tensor.