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Principal bundles and connections modelled by Lie group bundles [PDF]
Geometriae Dedicata, 2023 AbstractIn this work, generalized principal bundles modelled by Lie group bundle actions are investigated. In particular, the definition of equivariant connections in these bundles, associated to Lie group bundle connections, is provided, together with the analysis of their existence and their main properties. The final part gives some examples.
Castrillón López, Marco +1 more
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On principal bundles over spheres
Indagationes Mathematicae (Proceedings), 1970 Hans Scheerer
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Equivariant Diffusions on Principal Bundles [PDF]
Advanced Studies in Pure Mathematics, 2010 Given a pair of second order diffusion operators, one on the total space of a principle bundle $N$ and the other on the base space $M$, intertwined by the projection $ :N\to M$, if the operator ${\mathcal A}$ on the base manifold has constant rank, we define a semi-connection on the principal bundle which allows to split the diffusion operator ...
Elworthy, K. David +2 more
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Дифференциальная геометрия многообразий фигур, 2020 The hypercentered planes family, whose dimension coincides with dimension of generating plane, is considered in the projective space. Two principal fiber bundles arise over it.
A.V. Vyalova
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Principal $$\infty $$ ∞ -bundles: presentations [PDF]
Journal of Homotopy and Related Structures, 2014 55 ...
Urs Schreiber +2 more
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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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Construção de um bundle para alívio da dor na punção arterial norteado pela Tradução do Conhecimento [PDF]
Escola Anna Nery, 2022 RESUMO Objetivo descrever o processo de construção e estratégias de implementação de um bundle para alívio da dor durante a punção arterial do bebê hospitalizado.
Roberta Tognollo Borotta Uema +5 more
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n-Tuple principal bundles [PDF]
International Journal of Geometric Methods in Modern Physics, 2018 We develop the concept of a double (more generally [Formula: see text]-tuple) principal bundle departing from a compatibility condition for a principal action of a Lie group on a groupoid.
Katarzyna Grabowska, Janusz Grabowski
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Spin(8,C)-Higgs pairs over a compact Riemann surface
Open Mathematics, 2023 Let XX be a compact Riemann surface of genus g≥2g\ge 2, GG be a semisimple complex Lie group and ρ:G→GL(V)\rho :G\to {\rm{GL}}\left(V) be a complex representation of GG.
Antón-Sancho Álvaro
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A CRITERION FOR HOMOGENEOUS PRINCIPAL BUNDLES [PDF]
International Journal of Mathematics, 2010 We consider principal bundles over G/P, where P is a parabolic subgroup of a semi-simple and simply connected linear algebraic group G defined over ℂ. We prove that a holomorphic principal H-bundle EH → G/P, where H is a complex reductive group, and is homogeneous if the adjoint vector bundle ad (EH) is homogeneous. Fix a faithful H-module V.
Indranil Biswas, Günther Trautmann
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