Results 11 to 20 of about 193,300 (324)
On the principal bundles with parabolic structure [PDF]
Kyoto Journal of Mathematics, 2003 Let \(G\) be a semisimple complex algebraic group. For a parabolic principal \(G\)-bundle \(E_*\) on a smooth curve, the author proves the following analogue of Weil's theorem: \(E_*\) admits a flat connection if and only if every direct summand of the adjoint bundle \(E_*({\mathfrak g})\) has parabolic degree zero (\({\mathfrak g}\) being the Lie ...
Indranil Biswas
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Parallelisability of Principal Fibre Bundles [PDF]
Transactions of the American Mathematical Society, 1949 Shiing-Shen Chern, Sze-Tsen Hu
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Principal bundles with parabolic structure [PDF]
Electronic Research Announcements of the American Mathematical Society, 2001 We define a principal bundle analog of vector bundles with parabolic structure over a normal crossing divisor. Various results on parabolic vector bundles and usual principal bundles are extended to the context of parabolic principal bundles.
V. Balaji +2 more
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Note on principal $S^3$-bundles [PDF]
Bulletin of the American Mathematical Society, 1968 Peter Hilton, Joseph Roitberg
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On principal bundles over spheres
Indagationes Mathematicae (Proceedings), 1970 Hans Scheerer
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Poisson Principal Bundles [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 We semiclassicalise the theory of quantum group principal bundles to the level of Poisson geometry. The total space X is a Poisson manifold with Poisson-compatible contravariant connection, the fibre is a Poisson-Lie group in the sense of Drinfeld with bicovariant Poisson-compatible contravariant connection, and the base has an inherited Poisson ...
Majid, S, Williams, L
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Double principal bundles [PDF]
Journal of Geometry and Physics, 2021 We define double principal bundles (DPBs), for which the frame bundle of a double vector bundle, double Lie groups and double homogeneous spaces are basic examples. It is shown that a double vector bundle can be realized as the associated bundle of its frame bundle. Also dual structures, gauge transformations and connections in DPBs are investigated.
Honglei Lang, Yanpeng Li, Zhangju Liu
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On diffeological principal bundles of non-formal pseudo-differential operators over formal ones
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give results on diffeological principal bundles with (a priori) no local trivialization ...
Jean-Pierre Magnot
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Дифференциальная геометрия многообразий фигур, 2020 The hypercentered planes family, whose dimension coincides with dimension of generating plane, is considered in the projective space. Two principal fiber bundles arise over it.
A.V. Vyalova
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Equivariant Diffusions on Principal Bundles [PDF]
Advanced Studies in Pure Mathematics, 2010 Given a pair of second order diffusion operators, one on the total space of a principle bundle $N$ and the other on the base space $M$, intertwined by the projection $ :N\to M$, if the operator ${\mathcal A}$ on the base manifold has constant rank, we define a semi-connection on the principal bundle which allows to split the diffusion operator ...
Elworthy, K. David +2 more
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