Harmonicity and minimality of distributions on Riemannian manifolds via the intrinsic torsion

DOI10.4171/RMI/777zbMath1292.58009OpenAlexW2071231130WikidataQ115211843 ScholiaQ115211843MaRDI QIDQ2449580

José Carmelo González-Dávila

Publication date: 8 May 2014

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rmi/777

zbMATH Keywords

distributionharmonic maphomogeneous spaceminimal immersionintrinsic torsion of a G-structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20) Foliations (differential geometric aspects) (53C12) (G)-structures (53C10)

Related Items (6)

Cyclic homogeneous Riemannian manifolds ⋮ Homogeneous spin Riemannian manifolds with the simplest Dirac operator ⋮ Energy of generalized distributions ⋮ Harmonic unit normal sections of Grassmannians associated with cross products ⋮ Harmonicity and minimality of complex and quaternionic radial foliations ⋮ Geometry of \(G\)-structures via the intrinsic torsion

Cites Work

• Unnamed Item
• Harmonic almost contact structures via the intrinsic torsion
• Isotropic Jacobi fields on compact 3-symmetric spaces
• Distributions on Riemannian manifolds, which are harmonic maps.
• Homogeneous nearly Kähler manifolds
• Einstein metrics via intrinsic or parallel torsion
• Harmonicity and minimality of oriented distributions
• Harmonic G-structures
• Another Report on Harmonic Maps
• A Report on Harmonic Maps
• Riemannian geometry of contact and symplectic manifolds
• On the energy of distributions, with application to the quaternionic Hopf fibrations

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