Curvature tensor of connection in principal bundle of Cartan's projective connection space
Дифференциальная 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
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n-Tuple principal bundles [PDF]
International 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
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A new kind of geometric phases in open quantum systems and higher gauge theory
, 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
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Central line bundle implementation in US intensive care units and impact on bloodstream infections.
PLoS 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
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Crossed Module Bundle Gerbes; Classification, String Group and Differential Geometry
, 2005 We discuss nonabelian bundle gerbes and their differential geometry using simplicial methods. Associated to any crossed module there is a simplicial group NC, the nerve of the 1-category defined by the crossed module and its geometric realization |NC ...
Aschieri P. +7 more
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Frames of Group Sets and Their Application in Bundle Theory
MathematicsWe 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
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Group actions, non-Kähler complex manifolds and SKT structures
Complex 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
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On the uniform perfectness of equivariant diffeomorphism groups for principal G manifolds [PDF]
Opuscula Mathematica, 2017 We proved in [K. Abe, K. Fukui, On commutators of equivariant diffeomorphisms, Proc. Japan Acad. 54 (1978), 52-54] that the identity component \(\text{Diff}\,^r_{G,c}(M)_0\) of the group of equivariant \(C^r\)-diffeomorphisms of a principal \(G\) bundle \
Kazuhiko Fukui
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Non-abelian higher gauge theory and categorical bundle
, 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
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Involutions of the Moduli Space of Principal E6-Bundles over a Compact Riemann Surface
AxiomsIn 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
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