Gauge complex field theory.
Gauge independent formulation of dynamics of charged extended objects
Gauge transformations on holomorphic bundles.
Generalized Miron's -connection in the recurrent -Hamilton spaces.
Geodesic reduction via frame bundle geometry.
Geometrical aspects of the covariant dynamics of higher order
We present some geometrical aspects of a higher-order jet bundle which is considered a suitable framework for the study of higher-order dynamics in continuous media. We generalize some results obtained by A. Vondra, [7]. These results lead to a description of the geometrical dynamics of higher order generated by regular equations.
Geometrical background for the unified field theories : the Einstein-Cartan theory over a principal fibre bundle
Geometry of second-order connections and ordinary differential equations
The geometry of second-order systems of ordinary differential equations represented by -connections on the trivial bundle is studied. The formalism used, being completely utilizable within the framework of more general situations (partial equations), turns out to be of interest in confrontation with a traditional approach (semisprays), moreover, it amounts to certain new ideas and results. The paper is aimed at discussion on the interrelations between all types of connections having to do with...
Geometry on the space of positive functions.
Group actions, gauge transformations, and the calculus of variations.
Groups of Isometric Transformations, Basic Connections and Splitting results on Riemannian Manifolds