Results 11 to 20 of about 365 (231)
Principal bundles, groupoids, and connections [PDF]
Banach Center Publications, 2007 We clarify in which precise sense the theory of principal bundles and the theory of groupoids are equivalent; and how this equivalence of theories, in the differentiable case, reflects itself in the theory of connections. The method used is that of synthetic differential geometry. Introduction. In this note, we make explicit a sense in which the theory
Anders Kock
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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
Fernández, J., Zuccalli, Marcela
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Connections on a Parabolic Principal Bundle Over a Curve [PDF]
Canadian Journal of Mathematics, 2006 AbstractThe aim here is to define connections on a parabolic principal bundle. Some applications are given.
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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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
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Lie Algebroid Connections on Principal Bundles [PDF]
Comments are ...
Ghosh, Samit, Paul, Arjun
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Connections on locally trivial quantum principal fibre bundles [PDF]
Journal of Geometry and Physics, 2002 Following the approach of Budzy ski 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.
Rainer Matthes +2 more
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A global perspective to connections on principal 2-bundles [PDF]
Forum Mathematicum, 2017 Abstract For a strict Lie 2-group, we develop a notion of Lie 2-algebra-valued differential forms on Lie groupoids, furnishing a differential graded-commutative Lie algebra equipped with an adjoint action of the Lie 2-group and a pullback operation along Morita equivalences between Lie groupoids.
Konrad Waldorf
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A Discrete Theory of Connections on Principal Bundles
, 2005 Connections on principal bundles play a fundamental role in expressing the equations of motion for mechanical systems with symmetry in an intrinsic fashion. A discrete theory of connections on principal bundles is constructed by introducing the discrete analogue of the Atiyah sequence, with a connection corresponding to the choice of a splitting of the
Leok, Melvin +2 more
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CONNECTION AND CURVATURE IN A PRINCIPAL BUNDLE OF DIFFERENTIAL SPACES [PDF]
Demonstratio Mathematica, 1992 Continuing the considerations from the paper ``Bundles, linear bundles and principal bundles in the category of differential spaces'' [to appear ibid. 26 (1993)] the author carries over here to the theory of differential spaces the notions of connection and curvature and certain fundamental propositions from the theory of differential manifolds.
Andrzej Trafny
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