QUASI-GEODETIC STREAMS AND THEIR MORPHISMS

Abstract

The sprayed model of the free quasi-geodetic stream (QS) has been constructed, the problem of the Kartan - Shapiro - Petrov geodetic modelling has been solved. The bases of the QS geometric theory have been developed. The complete solution of the point local triviality problem in QS and theorem (combined with Ya. L. Shapiro) about inclusion of the electromagnetic field into the Riemannian graduating structure have been given by means of the aids of the specified geometric theory. The classification of the special type two-dimensional QS according to the Lie algebras of trajectory symmetries permitted by them has been proposed. The sprayed modelling of QS laid to the solution of the complex and actual problem in QS triviality. The theorem "about inclusion" being combined with Ya. L. Shapiro is the generalization for the non-Abelian case of the Routh method which is known in the mechanics.Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio