Results 51 to 60 of about 135,026 (217)
Non-abelian higher gauge theory and categorical bundle
, 2016 A gauge theory is associated with a principal bundle endowed with a connection permitting to define horizontal lifts of paths. The horizontal lifts of surfaces cannot be defined into a principal bundle structure.
Viennot, David
core +3 more sources
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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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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Unified prescription for the generation of electroweak and gravitational gauge field Lagrangian on a principal fiber bundle [PDF]
, 1990 It is essentially known that useful gauge field Lagrangians arise as Weil polynomials of the curvature of the gauge connection. The deeper implications and details of this fact are worked out in two widely differing cases.
T. Verwimp
semanticscholar +1 more source
On the universal ellipsitomic KZB connection [PDF]
Selecta Mathematica, 2019 We construct a twisted version of the genus one universal Knizhnik–Zamolodchikov–Bernard (KZB) connection introduced by Calaque–Enriquez–Etingof, that we call the ellipsitomic KZB connection.
D. Calaque, Martin Gonzalez
semanticscholar +1 more source
Gauge-potential approach to the kinematics of a moving car
, 1997 A kinematics of the motion of a car is reformulated in terms of the theory of gauge potentials (connection on principal bundle).
A. Guichardet +6 more
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Curvature function and coarse graining [PDF]
, 2010 A classic theorem in the theory of connections on principal fiber bundles states that the evaluation of all holonomy functions gives enough information to characterize the bundle structure (among those sharing the same structure group and base manifold ...
Dubrovin B. A. +2 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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Differential geometry of collective models
AIMS Mathematics, 2019 The classical astrophysical theory of Riemann ellipsoids and the quantum nuclear theory of Bohr and Mottelson share a common mathematical foundation in terms of the differential geometry of a principal bundle ${\cal P}$ and its associated vector bundle E,
George Rosensteel
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