Results 1 to 10 of about 105,712 (172)
Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle.
Micho Đurđevich, Stephen Bruce Sontz
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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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On connections on principal bundles
Arab Journal of Mathematical Sciences, 2017 A new construction of a universal connection was given in Biswas, Hurtubise and Stasheff (2012). The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle E over a compact Riemann surface admits
Indranil Biswas
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The Atiyah bundle and connections on a principal bundle
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Indranil Biswas
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A remark on “Connections and Higgs fields on a principal bundle” [PDF]
Annals of Global Analysis and Geometry, 2011 We show that a unipotent vector bundle on a non-Kaehler compact complex manifold does not admit a flat holomorphic connection in general. We also construct examples of topologically trivial stable vector bundle on compact Gauduchon manifold that does not admit any unitary flat connection.
Indranil Biswas, Carlos Florentino
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CONNECTION AND CURVATURE IN A PRINCIPAL BUNDLE OF DIFFERENTIAL SPACES
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.
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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.
Leok, Melvin +2 more
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Linear and projective connections over a smooth manifold
Дифференциальная геометрия многообразий фигур, 2023 The principal bundles of the first order coframes and the second order coframes, as well as factor bundle of centroprojective (coaffine) coframes are considered.
Yu. I. Shevchenko, A. V. Vyalova
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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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Glued linear connection on surface of the projective space
Дифференциальная геометрия многообразий фигур, 2020 We consider a surface as a variety of centered planes in a multidimensional projective space. A fiber bundle of the linear coframes appears over this manifold. It is important to emphasize the fiber bundle is not the principal bundle.
K.V. Bashashina
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