Harmonicity of unit vector fields with respect to Riemannian \(g\)-natural metrics

DOI10.1016/j.difgeo.2008.06.016zbMath1185.53070OpenAlexW2155115667WikidataQ115357447 ScholiaQ115357447MaRDI QIDQ1002013

Domenico Perrone, Giovanni Calvaruso, Mohamed Tahar Kadaoui Abbassi

Publication date: 20 February 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.06.016

zbMATH Keywords

Reeb vector fieldharmonic vector fields\(g\)-natural metricsunit tangent sphere bundle

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Differential geometric aspects of harmonic maps (53C43) Contact manifolds (general theory) (53D10)

Related Items (15)

MINIMALITY, HARMONICITY AND CR GEOMETRY FOR REEB VECTOR FIELDS ⋮ Geodesic Ricci solitons on unit tangent sphere bundles ⋮ Minimal unit vector fields with respect to Riemannian natural metrics ⋮ \(H\)-contact semi-Riemannian manifolds ⋮ Harmonic morphisms and Riemannian geometry of tangent bundles ⋮ Harmonicity properties of invariant vector fields on three-dimensional Lorentzian Lie groups ⋮ Harmonicity of vector fields on four-dimensional generalized symmetric spaces ⋮ The harmonicity of the Reeb vector field with respect to Riemannian \(g\)-natural metrics ⋮ A study of three-dimensional paracontact (κ̃,μ̃,ν̃)-spaces ⋮ Unit vector fields of minimum energy on quotients of spheres and stability of the Reeb vector field ⋮ Some geometrical properties of Berger Spheres ⋮ Almost contact metric manifolds whose Reeb vector field is a harmonic section ⋮ Naturality of homogeneous metrics on stiefel manifolds \(SO(m + 1)/SO(m - 1)\) ⋮ Almost \(\alpha\)-paracosymplectic manifolds ⋮ On the biharmonicity of vector fields and unit vector fields

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