Results 31 to 40 of about 193,300 (324)
Principal $$\infty $$ ∞ -bundles: presentations [PDF]
Journal of Homotopy and Related Structures, 2014 55 ...
Urs Schreiber +2 more
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Deformation quantization of principal bundles [PDF]
, 2016 We outline how Drinfeld twist deformation techniques can be applied to the deformation quantization of principal bundles into noncommutative principal bundles, and more in general to the deformation of Hopf-Galois extensions.
Aschieri, Paolo
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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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A Categorical Equivalence between Generalized Holonomy Maps on a Connected Manifold and Principal Connections on Bundles over that Manifold [PDF]
, 2015 A classic result in the foundations of Yang-Mills theory, due to J. W. Barrett ["Holonomy and Path Structures in General Relativity and Yang-Mills Theory." Int. J. Th. Phys.
Bleecker D. +12 more
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Linear and projective connections over a smooth manifold
Дифференциальная геометрия многообразий фигур, 2023 The principal bundles of the first order coframes and the second order coframes, as well as factor bundle of centroprojective (coaffine) coframes are considered.
Yu. I. Shevchenko, A. V. Vyalova
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The composition equipment for congruence of hypercentred planes
Дифференциальная геометрия многообразий фигур, 2019 In n-dimensional projective space Pn a manifold , i. e., a congruence of hypercentered planes , is considered. By a hypercentered planе we mean m-dimensional plane with a (m – 1)-dimensional hyperplane , distinguished in it.
A. V. Vyalova
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Glued linear connection on surface of the projective space
Дифференциальная геометрия многообразий фигур, 2020 We consider a surface as a variety of centered planes in a multidimensional projective space. A fiber bundle of the linear coframes appears over this manifold. It is important to emphasize the fiber bundle is not the principal bundle.
K.V. Bashashina
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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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Connections in the semiholonomic frame bundle of order r
Lietuvos Matematikos Rinkinys, 1999 In this article we define the canonical forms on the principal bundle of semiholonomic frames of order r, give structure equations for these forms and determine the connection of order r.
Kazimeras Navickis
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Numerically flat principal bundles [PDF]
Tohoku Mathematical Journal, 2005 In [\textit{J.-P. Demailly}, \textit{T. Peternell} and \textit{M. Schneider}, J. Algebraic Geom. 3, 295--345 (1994; Zbl 0827.14027)] it was introduced the notion of numerically effective holomorphic vector bundle and numerically flat vector bundle on a compact Kähler manifold.
Biswas, Indranil +1 more
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