2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112602We show that there is an infinite group of special automorphisms of the deformed group of diffeomorphisms, which describes parallel transports in Riemannian spaces of any variable curvature. Generators of translations of such group contain covariant derivatives, and structure functions - the curvature tensor.Differential GeometryGeneral Relativity and Quantum CosmologyGroup Theory53B05; 53B20; 58H05; 58H15text