Results 341 to 350 of about 2,005,987 (380)
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Principal Bundles and Connections
2003The notion of principal bundle as introduced in Section 1.3 is recalled. Invariant vector fields are then introduced as well as the bundle of vertical automorphisms and the bundle of infinitesimal generators of vertical principal automorphisms. Lie derivatives for principal automorphisms and infinitesimal generators of vertical automorphisms are ...
Mauro Francaviglia, Lorenzo Fatibene
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Sub-Riemannian structures in a principal bundle and their Popp measures
, 2017W. Bauer, Kenro Furutani, C. Iwasaki
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2003
Let H be a semisimple algebraic group and let X be a smooth projective curve defined over an algebraically closed field k. The principal aim of this paper is to give a brief account of the results of [BS] and [BP] which prove the existence and projectivity of the moduli spaces of principal H-bundles on X for fields of characteristic zero and char p, p >
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Let H be a semisimple algebraic group and let X be a smooth projective curve defined over an algebraically closed field k. The principal aim of this paper is to give a brief account of the results of [BS] and [BP] which prove the existence and projectivity of the moduli spaces of principal H-bundles on X for fields of characteristic zero and char p, p >
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Covariant and dynamical reduction for principal bundle field theories
, 2008Marco Castrillon Lopez, J. Marsden
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2019
In this chapter we treat the theory of principal bundles and connections on them for families of supermanifolds. The most important examples of principal bundles are frame bundles of vector bundles. Many extra structures on vector bundles, such as metrics or almost complex structures can actually be formulated in terms of a reduction of the structure ...
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In this chapter we treat the theory of principal bundles and connections on them for families of supermanifolds. The most important examples of principal bundles are frame bundles of vector bundles. Many extra structures on vector bundles, such as metrics or almost complex structures can actually be formulated in terms of a reduction of the structure ...
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Principal and Associated Bundles
1997Particularly important, and in some sense conceptually natural, are the bundles having as their typical fiber the group G itself, that is the bundles (P, π, M, G), where the group G acts on itself by right multiplication $$ G \mathrel\backepsilon g \to ga \in G,a \in G $$ .
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On the algebraic hull of an automorphism group of a principal bundle
, 1990R. Zimmer
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Connections on a Principal Bundle
Introductory Lectures on Equivariant Cohomology, 2003K. Lam
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Natural principal connections on the principal gauge prolongation of a principal bundle
, 2009Josef Janyška, J. Vondra
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