Results 1 to 10 of about 2,362,828 (289)
Principal $$\infty $$ ∞ -bundles: general theory [PDF]
Journal of Homotopy and Related Structures, 2014 49 pages; v2: published version; v3: missing assumption added to Lemma 3 ...
Urs Schreiber +2 more
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Principal $$\infty $$ ∞ -bundles: presentations [PDF]
Journal of Homotopy and Related Structures, 2014 55 ...
Urs Schreiber +2 more
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Principal bundles on the projective line
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2002 Let \(G\) be a reductive group defined over any field \(k\) of characteristic different from \(2\) and \(3\). Let \(E\) denote a principal \(G\)-bundle on the projective line \({\mathbb P}^1_k\) which is trivial at the origin i.e., the restriction of \(E\) to the \(k\)-rational point \(0\in {\mathbb P}^1_k\) is a trivial principal homogeneous space ...
V B Mehta
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On very stablity of principal G-bundles [PDF]
Geometriae Dedicata, 2019 Let $X$ be a smooth irreducible projective curve. Recently, Pauly and Peón-Nieto shows that a vector bundle over $X$ is very stable if and only if the Hitchin map on the vector space of Higgs field on that vector bundle is proper. In this notes, we generalize this result to principal $G-$bundles for any semisimple linear algebraic group $G$.
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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.
Lang, Honglei, Li, Yanpeng, Liu, Zhangju
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Principal Bundle Structure of Matrix Manifolds
Mathematics, 2021 In this paper, we introduce a new geometric description of the manifolds of matrices of fixed rank. The starting point is a geometric description of the Grassmann manifold Gr(Rk) of linear subspaces of dimension ...
Marie Billaud-Friess +2 more
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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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Principal bundles and ad{è}les
, 2021 in French ...
Gille, Philippe, Moret-Bailly, Laurent
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Martingales on principal fiber bundles
Proyecciones (Antofagasta), 2023 Let P(M,G) be a principal fiber bundle, let ω be a connection form on P(M,G), and consider a projectable connection ∇P on P(M,G). The aim of this work is to determine the ∇P -martingales in P(M,G). Our results allow establishing new characterizations of harmonic maps from Riemannian manifolds to principal fiber bundles.
Catuogno, Pedro, Stelmastchuk, Simão N.
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