Results 21 to 30 of about 26,110 (262)

Connections in the semiholonomic frame bundle of order r

open access: yesLietuvos 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

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

n-Tuple principal bundles [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2018
We develop the concept of a double (more generally [Formula: see text]-tuple) principal bundle departing from a compatibility condition for a principal action of a Lie group on a groupoid.
Katarzyna Grabowska, Janusz Grabowski
openaire   +2 more sources

SO(3): The Principal Bundle Structure

open access: yesMathematics
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   +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

Stable Higgs bundles over positive principal elliptic fibrations

open access: yesComplex Manifolds, 2018
Let M be a compact complex manifold of dimension at least three and Π : M → X a positive principal elliptic fibration, where X is a compact Kähler orbifold. Fix a preferred Hermitian metric on M.
Biswas Indranil   +2 more
doaj   +1 more source

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

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

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

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

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