Results 21 to 30 of about 3,456,047 (292)
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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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.
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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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Discrete connections on principal bundles: The discrete Atiyah sequence [PDF]
Journal of Geometry and Physics, 2022 In this work we study discrete analogues of an exact sequence of vector bundles introduced by M. Atiyah in 1957, associated to any smooth principal $G$-bundle $π:Q\rightarrow Q/G$. In the original setting, the splittings of the exact sequence correspond to connections on the principal bundle $π$.
Javier Fernández +2 more
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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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Hierarchical fiber bundle strength statistics [PDF]
, 2012 Multi-scale modeling is currently one of the most active research topics in a wide range of disciplines. In this thesis we develop innovative hierarchical multi-scale models to analyze the probabilistic strength of fiber bundle structures.
Alsaeed Mahmoud Abdalrahman, Tamer
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he deformation pseudotensor of connections in cocongruence K (n - m)m
Дифференциальная геометрия многообразий фигур, 2023 The Grassmann manifold is the set of all -dimensional planes of an -dimensional projective space, with dim. One of the submanifolds of the Grassmann manifold is a complex of -planes if the dimension of the complex exceeds the difference .
O. O. Belova
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Atiyah sequence and Gauge transformations of a principal $2$-bundle over a Lie groupoid
, 2021 In this paper, a notion of a principal $2$-bundle over a Lie groupoid has been introduced. For such principal $2$-bundles, we produced a short exact sequence of VB-groupoids, namely, the Atiyah sequence. Two notions of connection structures viz.
Chatterjee, Saikat +2 more
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