Results 1 to 10 of about 2,019,892 (322)

Principal Bundle Structure of Matrix Manifolds [PDF]

Mathematics, 2021
In this paper, we introduce a new geometric description of the manifolds of matrices of fixed rank. The starting point is a geometric description of the Grassmann manifold Gr(Rk) of linear subspaces of dimension ...
Marie Billaud-Friess, Antonio Falcó, Anthony Nouy   +2 more
doaj   +5 more sources

Monodromy group for a strongly semistable principal bundle over a curve, II [PDF]

, 2008
Let X be a geometrically irreducible smooth projective curve defined over a field k. Assume that X has a k-rational point; fix a k-rational point x e X. From these data we construct an affine group scheme X defined over the field k as well as a principal
Indranil Biswas, A. J. Parameswaran
semanticscholar   +6 more sources

SO(3): The Principal Bundle Structure [PDF]

Mathematics
In this article, the special orthogonal group SO(3) is considered as a topological group. We show that SO(3) has the structure of a principal SO(2)-bundle over the sphere S2. As a consequence, we prove that every orbit of an SO(3)-action on a topological
Ján Brajerčík, Demeter Krupka
doaj   +2 more sources

The gauge group of a noncommutative principal bundle and twist deformations [PDF]

Journal of Noncommutative Geometry, 2018
We study noncommutative principal bundles (Hopf-Galois extensions) in the context of coquasitriangular Hopf algebras and their monoidal category of comodule algebras.
P. Aschieri, G. Landi, C. Pagani
semanticscholar   +1 more source

Principal bundles and connections modelled by Lie group bundles [PDF]

, 2022
In this work, generalized principal bundles modelled by Lie group bundle actions are investigated. In particular, the definition of equivariant connections in these bundles, associated to Lie group bundle connections, is provided, together with the ...
M. L'opez, 'Alvaro Rodr'iguez Abella
semanticscholar   +1 more source

On diffeological principal bundles of non-formal pseudo-differential operators over formal ones

Pracì Mìžnarodnogo Geometričnogo Centru, 2023
We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give results on diffeological principal bundles with (a priori) no local trivialization ...
Jean-Pierre Magnot
doaj   +1 more source

Connections on a Parabolic Principal Bundle, II [PDF]

Canadian mathematical bulletin, 2007
In Connections on a parabolic principal bundle over a curve, $I$ we defined connections on a parabolic principal bundle. While connections on usual principal bundles are defined as splittings of the Atiyah exact sequence, it was noted in the above ...
I. Biswas
semanticscholar   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

The automorphism group of a Banach principal bundle with {1}-structure [PDF]

, 2009
A {1}-structure on a Banach manifold M (with model space E) is an E-valued 1-form on M that induces on each tangent space an isomorphism onto E. Given a Banach principal bundle P with connected base space and a {1}-structure on P, we show that its ...
M. Klotz
semanticscholar   +1 more source