Results 21 to 30 of about 2,390,711 (295)
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 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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Research Object Bundle 1.0 [PDF]
, 2014 This specification defines a file format for storage and distribution of Research Objects as a ZIP archive; called a Research Object Bundle (RO Bundle).
Haines, Robert +4 more
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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 $π:N\to M$, 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. D. +2 more
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Full-field optical coherence tomography using a fibre imaging bundle [PDF]
, 2006 An imaging fibre bundle is demonstrated for spatially-multiplexed probe beam delivery in OCT, with the aim of eliminating the mechanical scanning currently required at the probe tip in endoscopic systems.
H. D. Ford +3 more
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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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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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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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On connections on principal bundles
Arab Journal of Mathematical Sciences, 2017 A new construction of a universal connection was given in Biswas, Hurtubise and Stasheff (2012). The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle E over a compact Riemann surface admits
Indranil Biswas
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