3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.DG2021★ 1 cited
Group-Theoretic Matching of the Length and Equality Principles in Geometry
Serhii Samokhvalov, Olena Balakireva
Deformed generalized gauge groups, whch were created from physical considerations and made it possible to clarify some long-standing problems in physics, such as the problem of mot…
gr-qc2020★ 3 cited
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…
math.DG2007★ 1 cited
Group-theoretic Description of Riemannian Spaces
Serhiy E. Samokhvalov
It is shown that a locally geometrical structure of arbitrarily curved Riemannian space is defined by a deformed group of its diffeomorphisms