Results 1 to 10 of about 100,488 (252)
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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Can You Hear the Shape of a Market? Geometric Arbitrage and Spectral Theory
Axioms, 2021 Utilizing gauge symmetries, the Geometric Arbitrage Theory reformulates any asset model, allowing for arbitrage by means of a stochastic principal fibre bundle with a connection whose curvature measures the “instantaneous arbitrage capability”.
Simone Farinelli, Hideyuki Takada
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Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle.
Micho Đurđevich, Stephen Bruce Sontz
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Curvature tensor of connection in principal bundle of Cartan's projective connection space
Дифференциальная геометрия многообразий фигур, 2019 We considered Cartan's projective connection space with structure equations generalizing the structure equations of the projective space and the condition of local projectivity (this condition is an analogue to the equiprojectivity condition in the ...
K. Bashashina
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Criterion for connections on principal bundles over a pointed Riemann surface
Complex Manifolds, 2017 We investigate connections, and more generally logarithmic connections, on holomorphic principal bundles over a compact connected Riemann surface.
Biswas Indranil
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A categorical equivalence between generalized holonomy maps on a connected manifold and principal connections on bundles over that manifold [PDF]
, 2016 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.
Sarita Rosenstock, James Owen Weatherall
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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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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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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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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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