Harmonic sections and equivariant harmonic maps

DOI10.1007/BF02677834zbMath0914.58011MaRDI QIDQ1383229

Chris M. Wood

Publication date: 6 June 1999

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156319

zbMATH Keywords

equivariant harmonic mapsKaluza-Klein metricharmonic sectionsequivariant lift

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20)

Related Items (9)

Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type ⋮ Harmonic flow of geometric structures ⋮ The geometry of generalized Cheeger-Gromoll metrics on the total space of transitive Euclidean Lie algebroids ⋮ Isometric flows of \(G_2\)-structures ⋮ Harmonic sections of homogeneous fibre bundles. ⋮ Section sigma models coupled to symplectic duality bundles on Lorentzian four-manifolds ⋮ The geometry of generalised Cheeger-Gromoll metrics ⋮ HARMONIC CONTACT METRIC STRUCTURES AND SUBMERSIONS ⋮ Harmonic sections of vector bundles with spherically symmetric metrics

Cites Work

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• An existence theorem for harmonic sections
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• A class of harmonic almost-product structures
• On homogeneous Riemannian manifolds
• The fundamental equations of a submersion
• Totally geodesic maps
• The Gauss Section of a Riemannian Immersion
• Instability of the nearly-Kähler six-sphere.
• Harmonic Sections and Yang-Mills Fields
• The Tension Field of the Gauss Map
• A Theorem on Holonomy
• Vector fields and Ricci curvature

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