Results 1 to 10 of about 200,533 (263)

Principal Bundle Structure of Matrix Manifolds

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
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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

Parabolic principal Higgs bundles [PDF]

, 2008
To appear in the J.
Indranil Biswas
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Poisson Principal Bundles [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2021
We semiclassicalise the theory of quantum group principal bundles to the level of Poisson geometry. The total space X is a Poisson manifold with Poisson-compatible contravariant connection, the fibre is a Poisson-Lie group in the sense of Drinfeld with bicovariant Poisson-compatible contravariant connection, and the base has an inherited Poisson ...
Majid, S, Williams, L
openaire   +3 more sources

Double principal bundles [PDF]

Journal of Geometry and Physics, 2021
We define double principal bundles (DPBs), for which the frame bundle of a double vector bundle, double Lie groups and double homogeneous spaces are basic examples. It is shown that a double vector bundle can be realized as the associated bundle of its frame bundle. Also dual structures, gauge transformations and connections in DPBs are investigated.
Lang, Honglei, Li, Yanpeng, Liu, Zhangju
openaire   +2 more sources

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

Principal $$\infty $$ ∞ -bundles: presentations [PDF]

Journal of Homotopy and Related Structures, 2014
55 ...
Nikolaus, Thomas, Schreiber, Urs, Stevenson, Danny   +2 more
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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
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

Note on principal 𝑆³-bundles [PDF]

Bulletin of the American Mathematical Society, 1968
Peter Hilton, Joseph Roitberg
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