Results 1 to 10 of about 312,958 (303)
Connections on locally trivial quantum principal fibre bundles [PDF]
J.Geom.Phys. 41 (2002) 114-165, 2000 Following the approach of Budzy\'nski and Kondracki, we define covariant differential algebras and connections on locally trivial quantum principal fibre bundles. We also consider covariant derivatives, connection forms and curvatures and explore the relations between these notions.
Brzezinski +10 more
arxiv +8 more sources
Relative connections on Principal bundles and relative equivariant structures [PDF]
arXiv, 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
arxiv +7 more sources
Root stacks, principal bundles and connections [PDF]
arXiv, 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
arxiv +7 more sources
T-duality as correspondences of categorified principal bundles with adjusted connections [PDF]
Proceedings of Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2022), 2023 22 ...
Christian Saemann, Hyungrok Kim
semanticscholar +5 more sources
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
doaj +3 more sources
Principal bundles and connections modelled by Lie group bundles [PDF]
Geometriae Dedicata, 2022 In 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. In particular,
Marco Castrillón López +1 more
arxiv +8 more sources
A geometric approach to discrete connections on principal bundles [PDF]
J. Geom. Mech. 5 (2013), no. 4, p. 433, 2013 This work revisits, from a geometric perspective, the notion of discrete connection on a principal bundle, introduced by M. Leok, J. Marsden and A. Weinstein. It provides precise definitions of discrete connection, discrete connection form and discrete horizontal lift and studies some of their basic properties and relationships. An existence result for
Javier Fernández, Marcela Zuccalli
arxiv +8 more sources
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
doaj +4 more sources
The Existence of Cartan Connections and Geometrizable Principal Bundles [PDF]
Arch. Math. (Basel) 83 (2004), no. 2, 159-163, 2002 The aim of this article is to proof a necessary and sufficient condition for the existence of a Cartan connection on a principal bundle. After collecting the essentially well known facts to fix the terminology, soldering forms and geometrizable principal bundles are defined to finally prove the existence criterion.
Barakat, Mohamed
arxiv +7 more sources
On Invariant Connections over a Principal Fibre Bundle [PDF]
Nagoya Mathematical Journal, 1958 The invariant affine connection over a coset space G/J of a Lie group G have been discussed by various authors. Recently, Nomizu [8] gave a systematic study of this problem when J is reductible in G. Among other results, he established a 1-1 correspondence between the invariant affine connections and certain multilinear mappings, and calculated the ...
Hsien-Chung Wang
semanticscholar +5 more sources