Criticality of K-contact vector fields

DOI10.1016/S0393-0440(01)00035-3zbMath1007.53048MaRDI QIDQ1602415

Philippe Rukimbira

Publication date: 23 June 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Sasaki metricHarmonic sectionK-contact formminimal unit vector field

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (6)

MINIMALITY, HARMONICITY AND CR GEOMETRY FOR REEB VECTOR FIELDS ⋮ Minimal unit vector fields with respect to Riemannian natural metrics ⋮ \(H\)-contact semi-Riemannian manifolds ⋮ Volume and energy of Reeb vector fields ⋮ On the geometry of tangent hyperquadric bundles: CR and pseudoharmonic vector fields ⋮ Isoparametric functions, harmonic and minimal unit vector fields in K-contact geometry

Cites Work

• Contact manifolds in Riemannian geometry
• Some remarks on \(R\)-contact flows
• Harmonic maps on contact metric manifolds
• Isoparametric functions, harmonic and minimal unit vector fields in K-contact geometry
• On the Geometry of the Tangent Bundle.
• On the energy of a unit vector field
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