Results 21 to 30 of about 5,522 (253)
Nuclear Physics B, 2023 Weyl geometry is a natural extension of conformal geometry with Weyl covariance mediated by a Weyl connection. We generalize the Fefferman-Graham (FG) ambient construction for conformal manifolds to a corresponding construction for Weyl manifolds.
Weizhen Jia +2 more
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Exotic spheres’ metrics and solutions via Kaluza-Klein techniques
Journal of High Energy Physics, 2023 By applying an inverse Kaluza-Klein procedure, we provide explicit coordinate expressions for Riemannian metrics on two homeomorphic but not diffeomorphic spheres in seven dimensions.
T. Schettini Gherardini
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Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle
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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Equivariant principal bundles for G–actions and G–connections
Complex Manifolds, 2015 Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection.
Biswas Indranil +2 more
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Strong connections on quantum principal bundles [PDF]
Communications in Mathematical Physics, 1996 AMS-LaTeX, 40 pages, major revision including examples of connections over a quantum real projective ...
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Curvature-torsion quasitensor of Laptev fundamental-group connection
Дифференциальная геометрия многообразий фигур, 2020 We consider a space with Laptev's fundamental group connection generalizing spaces with Cartan connections. Laptev structural equations are reduced to a simpler form.
Yu. I. Shevchenko
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Affine Connection Representation of Gauge Fields
Advances in High Energy Physics, 2022 There are two ways to unify gravitational field and gauge field. One is to represent gravitational field as principal bundle connection, and the other is to represent gauge field as affine connection.
Zhao-Hui Man
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Principal bundles and connections modelled by Lie group bundles
Geometriae Dedicata, 2023 AbstractIn this work, generalized principal bundles modelled by Lie group bundle actions are investigated. In particular, the definition of equivariant connections in these bundles, associated to Lie group bundle connections, is provided, together with the analysis of their existence and their main properties. The final part gives some examples.
Castrillón López, Marco +1 more
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Lietuvos Matematikos RinkinysIn this article we define the canonical forms on the principal bundle of holonomic frames of order r, give structure equations for these forms and determine the connection of order r.
Kazimeras Navickis
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Criterion for connections on principal bundles over a pointed Riemann surface
Complex Manifolds, 2017 We investigate connections, and more generally logarithmic connections, on holomorphic principal bundles over a compact connected Riemann surface.
Biswas Indranil
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