GROUPS OF GENERALIZED FLUX TRANSFORMATIONS IN THE SPACE OF GENERALIZED CONNECTIONS

Properties of Generalized Berwald Connections

Connections and Generalized Gauged Transformations

With the standard fibre being a coset manifold, the transformation of a connection form in a fibre bundle under the action of the isometry group includes a dependence on the fibre coordinate. Elimination of the fibre coordinate from the transformation rule implies that the standard fibre is a Lie group and that the bundle is a principal bundle. The dependence on the fibre coordinate is consider...

Diffeomorphism-invariant Generalized Measures On the Space of Connections Modulo Gauge Transformations

The notion of a measure on the space of connections modulo gauge transformations that is invariant under diffeomorphisms of the base manifold is important in a variety of contexts in mathematical physics and topology. At the formal level, an example of such a measure is given by the Chern-Simons path integral. Certain measures of this sort also play the role of states in quantum gravity in Asht...

properties of generalized berwald connections

PRECOMPACT TOPOLOGICAL GENERALIZED GROUPS

In this paper, we introduce and study the notion of precompacttopological generalized groups and some new results are given.