Results 21 to 30 of about 105,811 (271)
he deformation pseudotensor of connections in cocongruence K (n - m)m
Дифференциальная геометрия многообразий фигур, 2023 The Grassmann manifold is the set of all -dimensional planes of an -dimensional projective space, with dim. One of the submanifolds of the Grassmann manifold is a complex of -planes if the dimension of the complex exceeds the difference .
O. O. Belova
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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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Nonabelian Bundle Gerbes, their Differential Geometry and Gauge Theory [PDF]
, 2003 Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied both in a global coordinate independent formalism and ...
Bouwknegt +15 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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The Existence of Cartan Connections and Geometrizable Principal Bundles [PDF]
, 2004 The aim of this article is to proof a necessary and sufficient condition for the existence of a Cartan connection on a principal bundle. After collecting the essentially well known facts to fix the terminology, soldering forms and geometrizable principal
Barakat, Mohamed
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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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Connections on locally trivial quantum principal fibre bundles
, 2000 Following the approach of Budzy\'nski and Kondracki, we define covariant differential algebras and connections on locally trivial quantum principal fibre bundles.
Brzezinski +10 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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