Connections with prescribed curvature and Yang-Mills currents : the semi-simple case

DOI10.24033/asens.1620zbMath0722.53021OpenAlexW4246383267MaRDI QIDQ3209774

Janet Talvacchia, Hubert Goldschmidt, Dennis M. DeTurck

Publication date: 1991

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1991_4_24_1_57_0

zbMATH Keywords

principal bundleconnectionreal-analytic solutionsinhomogeneous Yang-Mills equation

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Connections (general theory) (53C05)

Related Items (6)

Necessary and sufficient conditions for (i) Weyl, (ii) Riemann-Cartan connections ⋮ The integrability of the 2-Toda lattice on \(\mathfrak{sl}_n (\mathbb{C})\) and its generalization to semi-simple Lie algebras ⋮ The integrability of the 2-Toda lattice on a simple Lie algebra ⋮ Nilpotent bicone and characteristic submodule of a reductive Lie algebra ⋮ The prescribed curvature problem in dimension four ⋮ Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism

Cites Work

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• Which 2-forms are locally curvature forms?
• Connections with prescribed curvature
• Existence of metrics with prescribed Ricci curvature: Local theory
• Existence theorems for analytic linear partial differential equations
• Integrability criteria for systems of nonlinear partial differential equations
• Equation de Lie. I, II
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Lie Group Representations on Polynomial Rings
• On the Ring of Invariant Polynomials on a Semisimple Lie Algebra

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