Results 201 to 210 of about 365 (231)

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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On the bundle of principal connections and the stability of b-incompleteness of manifolds

Mathematical Proceedings of the Cambridge Philosophical Society, 1985
Abstract We make use of the universal connection on the bundle of principal connections; the bundle structure is governed by the action of the group on the first jet bundle. Each section determines a connection in the principal bundle, which in the case of the frame bundle allows a metric completion projecting onto the corresponding b-completion. It
CANARUTTO, DANIEL, C. DODSON
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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 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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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.
openaire   +3 more sources

Autophagy and autophagy-related pathways in cancer

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

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  

Principal Component Analysis

ACM Computing Surveys, 2022
Henrique Ferraz de Arruda, Filipi N Silva, Cesar H Comin   +2 more
exaly  

Tailoring planar slip to achieve pure metal-like ductility in body-centred-cubic multi-principal element alloys

Nature Materials, 2023
Liang Wang, Jun Ding, Tianyi Li
exaly