HARMONIC CONTACT METRIC STRUCTURES AND SUBMERSIONS

DOI10.1142/S0129167X09005224zbMath1169.53048arXiv0708.4377OpenAlexW2012829046MaRDI QIDQ3622811

E. Vergara-Diaz, Chris M. Wood

Publication date: 28 April 2009

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.4377

zbMATH Keywords

Riemannian submersionwarped product\(K\)-contactharmonic sectionharmonic almost complex structureharmonic unit vector fieldharmonic almost contact metric structure\(H\)-contact(1,2)-symplectic*Ricci curvature\((k,\mu)\)-manifold

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Other complex differential geometry (53C56) Almost contact and almost symplectic manifolds (53D15) (G)-structures (53C10)

Related Items (8)

MINIMALITY, HARMONICITY AND CR GEOMETRY FOR REEB VECTOR FIELDS ⋮ Three-dimensional homogeneous almost contact metric structures ⋮ \(H\)-contact semi-Riemannian manifolds ⋮ Riemannian submersions from almost contact metric manifolds ⋮ Almost contact metric manifolds whose Reeb vector field is a harmonic section ⋮ Harmonic almost contact structures via the intrinsic torsion ⋮ Harmonic geometric structures: the general theory and the cases of almost complex and almost contact structures ⋮ The harmonicity of nearly cosymplectic structures

Cites Work

• An existence theorem for harmonic sections
• On contact manifolds
• Harmonic almost contact structures
• The structure of nearly Kähler manifolds
• Harmonic sections and equivariant harmonic maps
• Contact metric manifolds whose characteristic vector field is a harmonic vector field
• Contact metric manifolds satisfying a nullity condition
• Total bending of vector fields on Riemannian manifolds
• The energy of Hopf vector fields
• On the energy of a unit vector field

This page was built for publication: HARMONIC CONTACT METRIC STRUCTURES AND SUBMERSIONS