Results 21 to 30 of about 198,779 (330)
Stability of the matrix model in operator interpretation
Nuclear Physics B, 2017 The IIB matrix model is one of the candidates for nonperturbative formulation of string theory, and it is believed that the model contains gravitational degrees of freedom in some manner.
Katsuta Sakai
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Towards an extended/higher correspondence
Complex Manifolds, 2021 In this short paper, we will review the proposal of a correspondence between the doubled geometry of Double Field Theory and the higher geometry of bundle gerbes.
Alfonsi Luigi
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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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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.
Biswas, Indranil, Trautmann, Günther
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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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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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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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