MINIMALITY, HARMONICITY AND CR GEOMETRY FOR REEB VECTOR FIELDS

DOI10.1142/S0129167X10006458zbMath1215.53060MaRDI QIDQ3162640

Domenico Perrone

Publication date: 20 October 2010

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

zbMATH Keywords

minimalityinvariant submanifoldsReeb vector fieldsharmonicityRiemannian \(g\)-natural metricsCR mapsmetrics of Kaluza-Klein typepseudo-harmonicity

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43) Global theory of symplectic and contact manifolds (53D35) CR structures, CR operators, and generalizations (32V05)

Related Items (11)

Geodesic Ricci solitons on unit tangent sphere bundles ⋮ Geometry of Kaluza-Klein metrics on the sphere \(\mathbb S^3\) ⋮ Minimal unit vector fields with respect to Riemannian natural metrics ⋮ \(H\)-contact semi-Riemannian manifolds ⋮ Harmonic morphisms and Riemannian geometry of tangent bundles ⋮ The harmonicity of the Reeb vector field with respect to Riemannian \(g\)-natural metrics ⋮ Levi harmonic maps of contact Riemannian manifolds ⋮ Almost contact metric manifolds whose Reeb vector field is a harmonic section ⋮ Metrics of Kaluza–Klein type on the anti‐de Sitter space ⋮ Unnamed Item ⋮ Contact semi-Riemannian structures in CR geometry: some aspects

Cites Work

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• On the energy of a unit vector field

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