The foliated structure of contact metric \((\kappa , \mu )\)-spaces

zbMath1210.53052arXiv0903.5534MaRDI QIDQ610645

Beniamino Cappelletti-Montano

Publication date: 8 December 2010

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

Full work available at URL: https://arxiv.org/abs/0903.5534

zbMATH Keywords

contact structureSasakian manifoldLegendre foliationTanaka-Webster parallel structure

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Foliations (differential geometric aspects) (53C12) Contact manifolds (general theory) (53D10)

Related Items (4)

Sasaki-Einstein and paraSasaki-Einstein metrics from \((\kappa, \mu)\)-structures ⋮ Nullity conditions in paracontact geometry ⋮ Geometric analysis of metric Legendre foliated cocycles on contact manifolds via SODE structure ⋮ Contact metric manifolds with large automorphism group and \((\kappa,\mu)\)-spaces

Cites Work

• Unnamed Item
• Legendre foliations on contact manifolds
• Pseudo-Hermitian symmetries
• The harmonicity of the Reeb vector field on contact metric 3-manifolds
• Some remarks on the generalized Tanaka-Webster connection of a contact metric manifold
• Contact metric manifolds with \(\eta \)-parallel torsion tensor
• Two remarks on contact metric structures
• A full classification of contact metric \((k,\mu)\)-spaces
• Contact metric manifolds satisfying a nullity condition
• Complex-valued differential forms on normal contact Riemannian manifolds
• Topology of almost contact manifolds
• The Structure of Legendre Foliations
• INVARIANT SUBMANIFOLDS OF CONTACT (κ, μ)-MANIFOLDS
• CONTACT METRIC (κ,μ)-SPACES AS BI-LEGENDRIAN MANIFOLDS
• Bi-Legendrian connections
• Riemannian geometry of contact and symplectic manifolds

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