Results 11 to 20 of about 200,107 (280)
Multidimensional Gravity on the Principal Bundles [PDF]
General Relativity and Gravitation, 1997 The multidimensional gravity on the total space of principal bundle is considered. In this theory the gauge fields arise as nondiagonal components of multidimensional metric.
A. Salam +7 more
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Poisson Principal Bundles [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 We semiclassicalise the theory of quantum group principal bundles to the level of Poisson geometry. The total space X is a Poisson manifold with Poisson-compatible contravariant connection, the fibre is a Poisson-Lie group in the sense of Drinfeld with bicovariant Poisson-compatible contravariant connection, and the base has an inherited Poisson ...
Majid, S, Williams, L
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Double principal bundles [PDF]
Journal of Geometry and Physics, 2021 We define double principal bundles (DPBs), for which the frame bundle of a double vector bundle, double Lie groups and double homogeneous spaces are basic examples. It is shown that a double vector bundle can be realized as the associated bundle of its frame bundle. Also dual structures, gauge transformations and connections in DPBs are investigated.
Lang, Honglei, Li, Yanpeng, Liu, Zhangju
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Principal $$\infty $$ ∞ -bundles: presentations [PDF]
Journal of Homotopy and Related Structures, 2014 55 ...
Nikolaus, Thomas +2 more
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Principal bundles and ad{è}les
, 2021 in French ...
Gille, Philippe, Moret-Bailly, Laurent
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Martingales on principal fiber bundles
Proyecciones (Antofagasta), 2023 Let P(M,G) be a principal fiber bundle, let ω be a connection form on P(M,G), and consider a projectable connection ∇P on P(M,G). The aim of this work is to determine the ∇P -martingales in P(M,G). Our results allow establishing new characterizations of harmonic maps from Riemannian manifolds to principal fiber bundles.
Catuogno, Pedro, Stelmastchuk, Simão N.
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Characteristic principal bundles [PDF]
Transactions of the American Mathematical Society, 1975 Characteristic principal bundles are the duals of commutative twisted group algebras. A principal bundle with locally compact second countable (Abelian) group and base space is characteristic iff it supports a continuous eigenfunction for almost every character measurably in the characters, also iff it is the quotient by Z of a principal E-bundle for ...
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On principal $G_2$ bundles [PDF]
Asian Journal of Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nontrivial Deformation of a Trivial Bundle [PDF]
, 2014 The ${\rm SU}(2)$-prolongation of the Hopf fibration $S^3\to S^2$ is a trivializable principal ${\rm SU}(2)$-bundle. We present a noncommutative deformation of this bundle to a quantum principal ${\rm SU}_q(2)$-bundle that is not trivializable.
Hajac, Piotr M., Zieliński, Bartosz
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Geometry of classical Higgs fields [PDF]
, 2005 In gauge theory, Higgs fields are responsible for spontaneous symmetry breaking. In classical gauge theory on a principal bundle P, a symmetry breaking is defined as the reduction of a structure group of this principal bundle to a subgroup H of exact ...
Sardanashvily, G.
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