Results 231 to 240 of about 26,110 (262)

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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Curvature on a Principal Bundle

2020
This chapter examines curvature on a principal bundle. The curvature of a connection on a principal G-bundle is a g-valued 2-form that measures, in some sense, the deviation of the connection from the Maurer-Cartan connection on a product bundle. The Maurer-Cartan form Θ‎ on a Lie group G satisfies the Maurer-Cartan equation. Let M be a smooth manifold.
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Vector bundles and principal bundles

2021
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Principal bundle groupoids, their gauge group and their nerve

Journal of Geometry and Physics, 2023
Alfonso Garmendia, Sylvie Paycha
exaly  

Principal Bundles

2015
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Principal Fiber Bundles

2019
In this chapter we treat the theory of principal bundles and connections on them for families of supermanifolds. The most important examples of principal bundles are frame bundles of vector bundles. Many extra structures on vector bundles, such as metrics or almost complex structures can actually be formulated in terms of a reduction of the structure ...
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Frame Bundles and Principal Bundles, Connections on Principal Bundles

2014
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Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety

Annals of Global Analysis and Geometry, 2020
Arjun Paul
exaly  

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

Reports on Mathematical Physics, 2009
Josef Janyška
exaly  

Principal bundle structure on jet prolongations of frame bundles

Mathematica Slovaca, 2014
Demeter Krupka
exaly