Results 21 to 30 of about 5,433 (284)

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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On principal connection like bundles [PDF]

Czechoslovak Mathematical Journal, 2014
Let \(\mathcal{PB}_m\) be the category of all principal fibred bundles with \(m\)-dimensional bases and their principal bundle homomorphisms covering embeddings. The author introduces the concepts of \((r,m)\)-system and product-preserving \((r,m)\)-system.
openaire   +2 more sources

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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Сurvature-torsion tensor for Cartan connection

Дифференциальная геометрия многообразий фигур, 2019
A Lie group containing a subgroup is considered. Such a group is a principal bundle, a typical fiber of this principal bundle is the subgroup and a base is a homogeneous space, which is obtained by factoring the group by the subgroup.
Yu. Shevchenko
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Induced connections of two types on a surface of an affine space

Дифференциальная геометрия многообразий фигур, 2019
In the affine space the fundamental-group connection in the bundle associated with a surface as a manifold of tangent planes is investigated. The principal bundle contains a quotient bundle of tangent frames, the typical fiber of which is a linear group ...
A. Shults
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