3 citations · 5 across the 6 of their papers we have counts for
6 papers
About the symmetry of general relativity
S. E. Samokhvalov
In this work we use generalized deformed gauge groups for investigation of symmetry of general relativity (GR). GR is formulated in generalized reference frames, which are represen…
Group theory approach to unification of gravity with internal symmetry gauge interactions: II. Relativity of charges and masses
S. E. Samokhvalov
The variant of electrogravitational unification has been studied on base of principle of relativity of charges and masses.
Group theory approach to unification of gravity with internal symmetry gauge interactions: I. Canonical electrogravity
S. E. Samokhvalov, V. S. Vanyashin
The infinite group of deformed diffeomorphisms of the spacetime continuum is put into the basis of the gauge theory of gravity. This gives rise to some new ways for unification of…
Canonical Deformed Groups of Diffeomorphisms and Finite Parallel Transports in Riemannian Spaces
Serhiy E. Samokhvalov
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 infinitesi…
The Group of Parallel Transports in the Riemannian Space
Serhiy E. Samokhvalov
We 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…
Infinite Deformed Groups and Their Geometrical and Physical Applications
Serhiy E. Samokhvalov
In this article we give the realization of the Klein's Program for geometrical structures (Riemannian spaces and fiber bundles with connection) with arbitrary variable curvature wi…