Results 31 to 40 of about 135,026 (217)

Martingales on principal fiber bundles [PDF]

Proyecciones (Antofagasta), 2022
Let P(M,G) be a principal fiber bundle, let ω be a connection form on P(M,G), and consider a projectable connection ∇P on P(M,G). The aim of this work is to determine the ∇P -martingales in P(M,G).
P. Catuogno, S. Stelmastchuk
semanticscholar   +1 more source

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
doaj   +1 more source

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

Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method

, 2020
We take advantage of the principal bundle geometry of the space of connections to obtain general results on the presymplectic structure of two classes of (pure) gauge theories: invariant theories, and non-invariant theories satisfying two restricting ...
J. François
semanticscholar   +1 more source

Locally homogeneous connections on principal bundles over hyperbolic Riemann surfaces

, 2018
Let $g$ be locally homogeneous (LH) Riemannian metric on a differentiable compact manifold $M$, and $K$ be a compact Lie group endowed with an $\mathrm {ad}$-invariant inner product on its Lie algebra $\mathfrak{k}$.
Arash Bazdar, Andrei Teleman
openalex   +4 more sources

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
doaj   +3 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
doaj   +1 more source

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
doaj   +1 more source

The Existence of Cartan Connections and Geometrizable Principal Bundles [PDF]

, 2004
The aim of this article is to proof a necessary and sufficient condition for the existence of a Cartan connection on a principal bundle. After collecting the essentially well known facts to fix the terminology, soldering forms and geometrizable principal
Barakat, Mohamed
core   +2 more sources

A generalization of intrinsic geometry and an affine connection representation of gauge fields

, 2021
There are two ways to unify gravitational field and gauge field. One is to represent gravitational field as principal bundle connection, and the other is to represent gauge field as affine connection.
Zhao-Hui Man
semanticscholar   +1 more source