Results 1 to 10 of about 226,986 (311)
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
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 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.
Hsien-Chung Wang
semanticscholar +5 more sources
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.
Dirk Calow, Rainer Matthes
arxiv +7 more sources
CONNECTION AND CURVATURE IN A PRINCIPAL BUNDLE OF DIFFERENTIAL SPACES [PDF]
Demonstratio Mathematica, 1992 In this paper, which is a continuation of the considerations contained in the paper [1], we define the notions of connection and curvature in the principal bundle of differential spaces.
Andrzej Trafny
semanticscholar +4 more sources
On principal connection like bundles [PDF]
Czechoslovak Mathematical Journal, 2014 Let PBm be the category of all principal fibred bundles with m-dimensional bases and their principal bundle homomorphisms covering embeddings. We introduce the concept of the so called (r,m)-systems and describe all gauge bundle functors on PBm of order r by means of the (r,m)-systems.
W. Mikulski
semanticscholar +5 more sources
Martingales on Principal Fiber Bundles [PDF]
arXiv, 2022 Let $P(M,G)$ be a principal fiber bundle, let $\omega$ be a connection form on $P(M,G)$, and consider a projectable connection $\nabla^{P}$ on $P(M,G)$. The aim of this work is to determine the $\nabla^{P}$-martingales in $P(M,G)$. Our results allow establishing new characterizations of harmonic maps from Riemannian manifolds to principal fiber bundles.
P. Catuogno, S. Stelmastchuk
arxiv +3 more sources