Results 31 to 40 of about 200,533 (263)

On connections on principal bundles

open access: yesArab Journal of Mathematical Sciences, 2017
A new construction of a universal connection was given in Biswas, Hurtubise and Stasheff (2012). The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle E over a compact Riemann surface admits
Indranil Biswas
doaj   +1 more source

Principal Co-Fiber Bundles [PDF]

open access: yesTransactions of the American Mathematical Society, 1976
Principal co-fiber bundles are defined in the category of topological groups. They are Eckmann-Hilton duals of principal fiber bundles. A classification theorem is provided as well as an example which almost represents the most general case.
openaire   +1 more source

Curvature tensor of connection in principal bundle of Cartan's projective connection space

open access: yesДифференциальная 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
doaj   +1 more source

On principal $G_2$ bundles [PDF]

open access: yesAsian Journal of Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A new kind of geometric phases in open quantum systems and higher gauge theory

open access: yes, 2011
A new approach extending the concept of geometric phases to adiabatic open quantum systems described by density matrices (mixed states) is proposed. This new approach is based on an analogy between open quantum systems and dissipative quantum systems ...
Lages, Jose, Viennot, David
core   +2 more sources

Frames of Group Sets and Their Application in Bundle Theory

open access: yesMathematics
We study fiber bundles where the fibers are not a group G but a free G-space with disjoint orbits. The fibers are then not torsors but disjoint unions of these; hence, we like to call them semi-torsors.
Eric J. Pap, Holger Waalkens
doaj   +1 more source

Involutions of the Moduli Space of Principal E6-Bundles over a Compact Riemann Surface

open access: yesAxioms
In this paper, the fixed points of involutions on the moduli space of principal E6-bundles over a compact Riemann surface X are investigated. In particular, it is proved that the combined action of a representative σ of the outer involution of E6 with ...
Álvaro Antón-Sancho
doaj   +1 more source

Non-abelian higher gauge theory and categorical bundle

open access: yes, 2016
A gauge theory is associated with a principal bundle endowed with a connection permitting to define horizontal lifts of paths. The horizontal lifts of surfaces cannot be defined into a principal bundle structure.
Viennot, David
core   +3 more sources

Central line bundle implementation in US intensive care units and impact on bloodstream infections.

open access: yesPLoS ONE, 2011
BackgroundCentral line-associated bloodstream infections (CLABSI) represent a serious patient safety issue. To prevent these infections, bundled interventions are increasingly recommended.
E Yoko Furuya   +5 more
doaj   +1 more source

Group actions, non-Kähler complex manifolds and SKT structures

open access: yesComplex Manifolds, 2018
We give a construction of integrable complex structures on the total space of a smooth principal bundle over a complex manifold, with an even dimensional compact Lie group as structure group, under certain conditions.
Poddar Mainak, Thakur Ajay Singh
doaj   +1 more source

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