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Bundle realizations and invariant connections in an Abelian principal bundle

Journal of Mathematical Physics, 1992
In this paper the concept of bundle realization of a Lie group on an Abelian principal bundle is defined. This definition is based on the theory of locally operating realizations of Lie groups. Afterward the bundle realizations are studied and characterized into pseudoequivalence classes.
Negro, Javier, Del Olmo, Mariano A.
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Connections and Higgs fields on a principal bundle

Annals of Global Analysis and Geometry, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Biswas, Indranil, Gómez, Tomás L.
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Connections on soldered principal bundles

1998
Summary: In Kaluza--Klein theory one usually computes the scalar curvature of the principal bundle manifold using the Levi--Civita connection. Here we consider a natural family of invariant connections on a soldered principal bundle which is then parallelizable and hence spinable.
Bär, Christian, Bleecker, D.
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Connections on noncommutative principal bundles

In modern mathematical physics, one is often times concerned with the equations of motion of a certain class of physically representative objects. In field theory over a curved spacetime, these typically take the form of some certain systems of PDEs, such as the Dirac equation (for the electron-positron field).
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Lorentz equations of motion and a theory of connections in a principal bundle

Physical Review D, 1987
The conjecture that unified nonlinear equations for gravitation and electromagnetism may lead directly to the Lorentz equation of motion for charged particles is discussed assuming a theory of connections on a principal bundle with SL(2,Q) as the structure group.
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GENERAL CONNECTIONS ON PRINCIPAL BUNDLES

JP Journal of Geometry and Topology, 2017
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