Some remarks on geodesics in gauge groups and harmonic maps

DOI10.1016/0393-0440(87)90018-0zbMath0656.58010OpenAlexW2060919056WikidataQ125116858 ScholiaQ125116858MaRDI QIDQ1110147

Giorgio Valli

Publication date: 1987

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(87)90018-0

zbMATH Keywords

Riemannian manifoldharmonic mapsgauge groupconnection

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Connections (general theory) (53C05) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (5)

A class of harmonic almost-product structures ⋮ GEOMETRY OF THE MODULI SPACES OF HARMONIC MAPS INTO LIE GROUPS VIA GAUGE THEORY OVER RIEMANN SURFACES ⋮ Harmonic gauges on Riemann surfaces and stable bundles ⋮ Unnamed Item ⋮ The Poincaré variational principle in the Lagrange–Poincaré reduction of mechanical systems with symmetry

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• Groups of diffeomorphisms and the motion of an incompressible fluid
• Differential equation s in abstract spaces
• The Yang-Mills equations over Riemann surfaces

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