Results 1 to 10 of about 198,779 (330)
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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Monodromy group for a strongly semistable principal bundle over a curve, II [PDF]
, 2008 Let $X$ be a geometrically irreducible smooth projective curve defined over a field $k$. Assume that $X$ has a $k$-rational point; fix a $k$-rational point $x\in X$.
Indranil Biswas, A. J. Parameswaran
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Deformation quantization of principal bundles [PDF]
, 2016 We outline how Drinfeld twist deformation techniques can be applied to the deformation quantization of principal bundles into noncommutative principal bundles, and more in general to the deformation of Hopf-Galois extensions.
Paolo Aschieri
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SO(3): The Principal Bundle Structure [PDF]
MathematicsIn this article, the special orthogonal group SO(3) is considered as a topological group. We show that SO(3) has the structure of a principal SO(2)-bundle over the sphere S2. As a consequence, we prove that every orbit of an SO(3)-action on a topological
Ján Brajerčík, Demeter Krupka
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Stable Higgs bundles over positive principal elliptic fibrations
Complex Manifolds, 2018 Let M be a compact complex manifold of dimension at least three and Π : M → X a positive principal elliptic fibration, where X is a compact Kähler orbifold. Fix a preferred Hermitian metric on M.
Biswas Indranil +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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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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Can You Hear the Shape of a Market? Geometric Arbitrage and Spectral Theory
Axioms, 2021 Utilizing gauge symmetries, the Geometric Arbitrage Theory reformulates any asset model, allowing for arbitrage by means of a stochastic principal fibre bundle with a connection whose curvature measures the “instantaneous arbitrage capability”.
Simone Farinelli, Hideyuki Takada
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Spin(8,C)-Higgs pairs over a compact Riemann surface
Open Mathematics, 2023 Let XX be a compact Riemann surface of genus g≥2g\ge 2, GG be a semisimple complex Lie group and ρ:G→GL(V)\rho :G\to {\rm{GL}}\left(V) be a complex representation of GG.
Antón-Sancho Álvaro
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Construção de um bundle para alívio da dor na punção arterial norteado pela Tradução do Conhecimento [PDF]
Escola Anna Nery, 2022 RESUMO Objetivo descrever o processo de construção e estratégias de implementação de um bundle para alívio da dor durante a punção arterial do bebê hospitalizado.
Roberta Tognollo Borotta Uema +5 more
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