Results 21 to 30 of about 5,540 (286)

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
doaj   +1 more source

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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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, Mariana Juchani, Marcela Zuccalli   +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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Principal bundles, groupoids, and connections [PDF]

Banach Center Publications, 2007
We clarify in which precise sense the theory of principal bundles and the theory of groupoids are equivalent; and how this equivalence of theories, in the differentiable case, reflects itself in the theory of connections. The method used is that of synthetic differential geometry. Introduction. In this note, we make explicit a sense in which the theory
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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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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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Weyl-ambient geometries

Nuclear Physics B, 2023
Weyl geometry is a natural extension of conformal geometry with Weyl covariance mediated by a Weyl connection. We generalize the Fefferman-Graham (FG) ambient construction for conformal manifolds to a corresponding construction for Weyl manifolds.
Weizhen Jia, Manthos Karydas, Robert G. Leigh   +2 more
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