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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 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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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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PRINCIPAL BUNDLES ON RATIONALLY CONNECTED FIBRATIONS OVER ABELIAN VARIETIES

International Journal of Mathematics, 2009
Let f : M → A be a smooth surjective algebraic morphism, where M is a connected complex projective manifold and A a complex abelian variety, such that all the fibers of f are rationally connected. We show that an algebraic principal G-bundle EG over M admits a flat holomorphic connection if EG admits a holomorphic connection; here G is any connected ...
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GENERAL CONNECTIONS ON PRINCIPAL BUNDLES

JP Journal of Geometry and Topology, 2017
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Intracardiac Delineation of Septal Conduction in Left Bundle-Branch Block Patterns

Circulation, 2019
Andrew D Beaser   +2 more
exaly  

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