Almost contact metric manifolds whose Reeb vector field is a harmonic section

DOI10.1007/s10474-012-0228-1zbMath1299.53132OpenAlexW2073511229MaRDI QIDQ2250801

Yanyan Li

Publication date: 21 July 2014

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-012-0228-1

zbMATH Keywords

almost cosymplectic manifoldalmost Kenmotsu manifoldharmonic unit vector field\((\kappa,\mu)\)-spacelocally conformal cosymplectic manifoldalmost contact metric three-manifoldharmonic almost contact metric structure

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Contact manifolds (general theory) (53D10) Almost contact and almost symplectic manifolds (53D15) (G)-structures (53C10)

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Conformally flat almost Kenmotsu 3-manifolds, Almost Kenmotsu 3-manifolds with pseudo-parallel characteristic Jacobi operator, Pseudo-symmetric almost cosymplectic 3-manifolds, Einstein-type metrics on almost Kenmotsu manifolds, Unnamed Item, Unnamed Item, Left-invariant almost α-coKähler structures on 3D semidirect product Lie groups, Unit vector fields of minimum energy on quotients of spheres and stability of the Reeb vector field, On the geometrical properties of hypercomplex four-dimensional Lie groups, On the geometrical properties of hypercomplex four-dimensional Lorentzian Lie groups, Unnamed Item, Classification of homogeneous almost cosymplectic three-manifolds

Cites Work

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• Almost Kenmotsu manifolds with a condition of \(\eta \)-parallelism
• Classification of homogeneous almost cosymplectic three-manifolds
• Harmonic almost contact structures
• Harmonicity of unit vector fields with respect to Riemannian \(g\)-natural metrics
• Almost Kenmotsu manifolds and nullity distributions
• On almost cosymplectic manifolds
• Almost contact structures and curvature tensors
• Curvatures of left invariant metrics on Lie groups
• Unit vector fields on spheres, which are 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
• Differential geometry and analysis on CR manifolds
• On almost cosymplectic \((-1,\mu,0)\)-spaces
• Integrability of almost cosymplectic structures
• H-CONTACT UNIT TANGENT SPHERE BUNDLES OF EINSTEIN MANIFOLDS
• MINIMALITY, HARMONICITY AND CR GEOMETRY FOR REEB VECTOR FIELDS
• Locally conformal almost cosymplectic manifolds
• HARMONIC CONTACT METRIC STRUCTURES AND SUBMERSIONS
• Normal almost contact metric manifolds of dimension three
• Variational Problems on Contact Riemannian Manifolds
• Harmonic characteristic vector fields on contact metric three-manifolds
• On the Existence of a New Class of Contact Metric Manifolds
• On the energy of a unit vector field
• Riemannian geometry of contact and symplectic manifolds