Results 181 to 190 of about 135,026 (217)

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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Connections and Higgs fields on a principal bundle

Annals of Global Analysis and Geometry, 2007
Let M be a compact connected Kahler manifold and G a connected linear algebraic group defined over \({\mathbb{C}}\) . A Higgs field on a holomorphic principal G-bundle eG over M is a holomorphic section θ of \(\text{ad}(\epsilon_{G})\otimes {\Omega}^{1}_{M}\) such that θ∧ θ = 0.
Tomás Gómez, Indranil Biswas
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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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Natural principal connections on the principal gauge prolongation of a principal bundle

Reports on Mathematical Physics, 2009
Let $\Gamma$ be a principal connection on a principal bundle $\pi:P\to M$ and let $\Lambda$ be a linear connection on $M$. We describe all possible natural prolongations of $\Gam$, with respect to $\Lam$, to principal connections on the principal gauge prolongation $W^rP$ of $P$.
Jan Vondra, Josef Janyška
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Universal connections in Fréchet principal bundles

Periodica Mathematica Hungarica, 2007
A new methodology leading to the construction of a universal connec- tion for Frechet principal bundles is proposed in this paper. The classical theory, applied successfully so far for finite dimensional and Banach mod- elled bundles, collapses within the framework of Frechet manifolds.
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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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Autophagy and autophagy-related pathways in cancer

Nature Reviews Molecular Cell Biology, 2023
, Kevin M Ryan
exaly  

The internal symmetry group of a connection on a principal fiber bundle with applications to gauge field theories

, 1987
A. Fischer
semanticscholar   +1 more source

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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The cGAS–STING pathway as a therapeutic target in inflammatory diseases

Nature Reviews Immunology, 2021
Alexiane Decout, Andrea Ablasser
exaly