Results 261 to 270 of about 104,879 (300)

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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Natural principal connections on the principal gauge prolongation of a principal bundle

Reports on Mathematical Physics, 2009
For a principal bundle \(P\) over a manifold \(M\) with structure group \(G\) and an integer \(r\), one can form the \(r\)-th principal prolongation \(W^rP\), which essentially consists of \(r\)-jets of local principal bundle charts. This is a principal bundle with structure group the \(r\)-th prolongation \(W^r_mG\), where \(m\) is the dimension of ...
Janyška, Josef, Vondra, Jan
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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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Universal connections in Fréchet principal bundles

Periodica Mathematica Hungarica, 2007
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Principal bundle, parabolic bundle, and holomorphic connection

2003
Let E G be a principal G—bundle over a rationally connected variety, where G is a complex algebraic group. Then any holomorphic connection on E G is flat. We describe a necessary and sufficient condition for a parabolic vector bundle over a Riemann surface to admit a logarithmic connection compatible with the parabolic structure.
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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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Autophagy and autophagy-related pathways in cancer

Nature Reviews Molecular Cell Biology, 2023
, Kevin M Ryan
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