Results 11 to 20 of about 5,433 (284)
Criterion for connections on principal bundles over a pointed Riemann surface
Complex Manifolds, 2017 We investigate connections, and more generally logarithmic connections, on holomorphic principal bundles over a compact connected Riemann surface.
Biswas Indranil
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Principal bundles and connections modelled by Lie group bundles [PDF]
Geometriae Dedicata, 2022 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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Principal Bundles, Connections and BRST Cohomology [PDF]
, 1994 31 pages ...
Hugo García‐Compeán +3 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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A geometric approach to discrete connections on principal bundles
Journal of Geometric Mechanics, 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 +3 more
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Equivariant principal bundles for G–actions and G–connections
Complex Manifolds, 2015 Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection.
Biswas Indranil +2 more
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Connections on principal bundles over curves in positive characteristics [PDF]
Pacific Journal of Mathematics, 2003 Let \(X\) be an irreducible smooth projective curve over an algebraically closed field \(k\) of characteristic \(p>5\). Let \(E_G\) be a principal \(G\)-bundle over \(X\), where \(G\) is a connected reductive algebraic group over \(k\). The aim of the present paper is to provide a criterion for the existence of a connection on the bundle \(E_G\).
Indranil Biswas, S. Subramanian
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Logarithmic Connections on Principal Bundles and Their Applications to Geometric Control Theory
AxiomsIn this research, we establish a precise correspondence between the theory of logarithmic connections on principal G-bundles over compact Riemann surfaces and the geometric formulation of control systems on curved manifolds, providing a novel ...
Álvaro Antón-Sancho
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Principal 3-Bundles with Adjusted Connections [PDF]
43 pages, comments ...
Gianni Gagliardo +2 more
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