Bulgarian Journal of Physics

Bulgarian Journal of Physics

Print: 1310-0157 Online: 1314-2666

RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY APPROVED BY THE EUROPEAN COMMISSION

Bulg. J. Phys. vol.33 no.s2 (2006), pp. 309-314

Cartan Equation as the Condition of the Existence of an Infinite Group

S.E. Samokhvalov, K.O. Reznyk
State Technical University, Dniprodzerzhinsk, Ukraine

Abstract. Let P be a principal bundle with the base M (space-time) and a structural group GL(n,R). Group G_M^g=DiffM ⊗GL(n,R)^g acts on P and sets the geometrical structure with trivial curvature. Following a technique of Samokhvalov of construction of the deformed groups we construct a group G_M^gH. This group acts on the vierbein bundle, and sets the geometrical structure with nontrivial curvature. The structural equations follow from the group's axioms and are necessary conditions of group G_M^gH existence.

Full-text: PDF

go back

RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY APPROVED BY THE EUROPEAN COMMISSION

2-8 July 2023 The International Workshop on Nuclear Theory (IWNT) is annually organized since 1980 by the Nuclear Theory Laboratory (NTL) of the Institute for Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. Proceedings of the Workshop will be published.

Bulg. J. Phys. vol.33 no.s2 (2006), pp. 309-314

Cartan Equation as the Condition of the Existence of an Infinite Group

Full-text: PDF

2-8 July 2023
The International Workshop on Nuclear Theory (IWNT) is annually organized since 1980 by the Nuclear Theory Laboratory (NTL) of the Institute for Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. Proceedings of the Workshop will be published.