Results 221 to 230 of about 5,522 (253)

Connections on Principal Bundles

2015
The topic of this chapter has become standard in modern treatments of differential geometry. The very words of the title have even been incorporated into part of a common cliche: Gauge theory is a connection on a principal bundle. We will come back to this relation between physics and geometry in Chapter 14 But just on the geometry side there has been ...
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Connections on principal prolongations of principal bundles

Differential Geometry and Its Applications, 2008
We study the principal connections on the r-th principal prolongation of a principal bundle by using the related Lie algebroids. We deduce that both approaches to the concept of torsion are naturally equivalent. Special attention is paid to the flow prolongation of connections.
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Universal connections in Fréchet principal bundles

Periodica Mathematica Hungarica, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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PRINCIPAL BUNDLES ADMITTING A HOLOMORPHIC CONNECTION

International Journal of Mathematics, 1996
Let \(G\) be a complex Lie group and \(M\) a compact connected Kähler manifold. Consider \(0={\mathcal E}_0 \subset {\mathcal E}_1 \subset \dots {\mathcal E}_{l-1} \subset {\mathcal E}_l=T\), the Harder-Narasimhan filtration of the holomorphic tangent bundle \(T\) of \(M\). The following result is proven: Theorem.
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Invariant Connections in a Non-Abelian Principal Bundle

Annals of Physics, 1994
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Hussin, Veronique, Negro, Javier, del Olmo, Mariano A.   +2 more
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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
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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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