Results 1 to 10 of about 5,421 (167)
On connections on principal bundles
Arab 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
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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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Relative connections on Principal bundles and relative equivariant structures [PDF]
Differential Geometry and its Applications, 2023 We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic principal bundle over a complex analytic family. We also introduce the notion of relative equivariant bundles and establish its relation
Mainak Poddar, Anoop Singh
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Connections on a parabolic principal bundle, II [PDF]
Canadian Mathematical Bulletin, 2007 AbstractIn 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 article that the Atiyah exact sequence does not generalize to the parabolic principal bundles.
Indranil Biswas
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Principal Bundles, Connections and BRST Cohomology [PDF]
, 1994 31 pages ...
Hugo García‐Compeán +3 more
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Principal bundles and connections modelled by Lie group bundles [PDF]
Geometriae Dedicata, 2023 AbstractIn 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 analysis of their existence and their main properties. The final part gives some examples.
Marco Castrillón López +1 more
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On principal connection like bundles [PDF]
Czechoslovak Mathematical Journal, 2014 Let \(\mathcal{PB}_m\) be the category of all principal fibred bundles with \(m\)-dimensional bases and their principal bundle homomorphisms covering embeddings. The author introduces the concepts of \((r,m)\)-system and product-preserving \((r,m)\)-system.
Włodzimierz M. Mikulski
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Strong connections on quantum principal bundles [PDF]
Communications in Mathematical Physics, 1996 AMS-LaTeX, 40 pages, major revision including examples of connections over a quantum real projective ...
Piotr M. Hajac
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Principal 3-Bundles with Adjusted Connections [PDF]
43 pages, comments ...
Gianni Gagliardo +2 more
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Root stacks, principal bundles and connections [PDF]
Bulletin des Sciences Mathématiques, 2012 We investigate principal bundles over a root stack. In case of dimension one, we generalize the criterion of Weil and Atiyah for a principal bundle to have an algebraic connection.
Indranil Biswas +2 more
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