Harmonic G-structures

DOI10.1017/S0305004108001709zbMath1165.53043arXiv0706.0116OpenAlexW3099342284MaRDI QIDQ3616242

F. Martín Cabrera, José Carmelo González-Dávila

Publication date: 24 March 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0116

zbMATH Keywords

energy functionalvariational formulasharmonic \(G\)-structuresharmonic almost Hermitian manifolds

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) (G)-structures (53C10)

Related Items (13)

An integral formula for \(G_2\)-structures ⋮ Energy of generalized distributions ⋮ Harmonic flow of geometric structures ⋮ Harmonic \(\operatorname{G}_2\)-structures on almost abelian Lie groups ⋮ Harmonic unit normal sections of Grassmannians associated with cross products ⋮ Harmonicity and minimality of distributions on Riemannian manifolds via the intrinsic torsion ⋮ Harmonicity and minimality of complex and quaternionic radial foliations ⋮ Harmonic almost contact structures via the intrinsic torsion ⋮ Homogeneous nearly Kähler manifolds ⋮ Examples of minimal \(G\)-structures ⋮ Geometry of \(G\)-structures via the intrinsic torsion ⋮ The exterior derivative of the Lee form of almost Hermitian manifolds ⋮ Harmonic \(SU(3)\)- and \(G_2\)-structures via spinors

Cites Work

• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Curvature identities for Hermitian and almost Hermitian manifolds
• Almost-Hermitian geometry
• Harmonic sections of homogeneous fibre bundles.
• Einstein metrics via intrinsic or parallel torsion
• Harmonicity and minimality of oriented distributions
• Total bending of vector fields on Riemannian manifolds
• Orthogonal almost-complex structures of minimal energy
• Another Report on Harmonic Maps
• Curvature Tensors on Almost Hermitian Manifolds
• A Report on Harmonic Maps
• Almost Complex Submanifolds of the Six Sphere
• Harmonic Mappings of Riemannian Manifolds
• On the energy of a unit vector field

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