CONTACT METRIC (κ,μ)-SPACES AS BI-LEGENDRIAN MANIFOLDS

DOI10.1017/S0004972708000221zbMath1155.53018arXiv0706.0707MaRDI QIDQ3533769

Beniamino Cappelletti-Montano, Luigia Di Terlizzi

Publication date: 24 October 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0707

zbMATH Keywords

\((kLegendrian foliationsbi-Legendrian structures\mu )\)- nulity distribution\mu )\)-manifoldscontact metric \((k

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Foliations (differential geometric aspects) (53C12) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (5)

The foliated structure of contact metric \((\kappa , \mu )\)-spaces ⋮ Sasaki-Einstein and paraSasaki-Einstein metrics from \((\kappa, \mu)\)-structures ⋮ Nullity conditions in paracontact geometry ⋮ A survey of Riemannian contact geometry ⋮ Some remarks on the generalized Tanaka-Webster connection of a contact metric manifold

Cites Work

• \(\eta\)-parallel contact metric spaces
• Legendre foliations on contact manifolds
• Ricci curvatures of contact Riemannian manifolds
• On the non-existence of flat contact metric structures
• A new class of contact Riemannian manifolds
• A class of locally \(\varphi\)-symmetric contact metric spaces
• Contact metric manifolds satisfying a nullity condition
• The Structure of Legendre Foliations
• Variational Problems on Contact Riemannian Manifolds
• On the Existence of a New Class of Contact Metric Manifolds

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