Results 1 to 10 of about 5,178 (154)

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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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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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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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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Curvature and torsion pseudotensors of coaffine connection in tangent bundle of hypercentred planes manifold

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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The composite equipment for manifold of hypercentered planes, whose dimension coincides with dimension of generating plane

Дифференциальная геометрия многообразий фигур, 2021
In n-dimensional projective space Pn a manifold , i. e., a family of pairs of planes one of which is a hyperplane in the other, is considered. A principal bundle arises over it, . A typi­cal fiber is the stationarity subgroup of the generator of pair of
A.V. Vyalova, Yu. I. Shevchenko
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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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