An existence theorem for harmonic sections

DOI10.1007/BF02568751zbMath0713.58010OpenAlexW2028088500MaRDI QIDQ749939

Chris M. Wood

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/155514

zbMATH Keywords

harmonic mapharmonic sections of fibre bundles

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items (26)

Geodesics and natural complex magnetic trajectories on tangent bundles ⋮ MINIMALITY, HARMONICITY AND CR GEOMETRY FOR REEB VECTOR FIELDS ⋮ Kaluza-Klein type Ricci solitons on unit tangent sphere bundles ⋮ Curvatures of spherically symmetric metrics on vector bundles ⋮ Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type ⋮ Geodesic Ricci solitons on unit tangent sphere bundles ⋮ A note on induced connections ⋮ Magnetic trajectories on tangent sphere bundle with g-natural metrics ⋮ Geometry of Kaluza-Klein metrics on the sphere \(\mathbb S^3\) ⋮ Harmonic sections and equivariant harmonic maps ⋮ g‐natural symmetries on tangent bundles ⋮ Harmonic flow of geometric structures ⋮ Harmonic morphisms and Riemannian geometry of tangent bundles ⋮ Some classes of harmonic functions on vector bundles ⋮ Isometric flows of \(G_2\)-structures ⋮ Section sigma models coupled to symplectic duality bundles on Lorentzian four-manifolds ⋮ HOMOGENEOUS AND H-CONTACT UNIT TANGENT SPHERE BUNDLES ⋮ Metrics of Kaluza–Klein type on the anti‐de Sitter space ⋮ The geometry of generalised Cheeger-Gromoll metrics ⋮ HARMONIC CONTACT METRIC STRUCTURES AND SUBMERSIONS ⋮ Natural Ricci Solitons on tangent and unit tangent bundles ⋮ Harmonic geometric structures: the general theory and the cases of almost complex and almost contact structures ⋮ On the biharmonicity of vector fields and unit vector fields ⋮ Harmonic sections of vector bundles with spherically symmetric metrics ⋮ Geometric analysis of the Yang-Mills-Higgs-Dirac model ⋮ On $g$-natural conformal vector fields on unit tangent bundles

Cites Work

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• Totally geodesic maps
• The Gauss Section of a Riemannian Immersion
• Twisted Harmonic Maps and the Self-Duality Equations
• Harmonic Mappings of Spheres
• Some properties and applications of harmonic mappings
• Harmonic Sections and Yang-Mills Fields
• On Homotopic Harmonic Maps
• Harmonic Mappings of Riemannian Manifolds

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