BI-LEGENDRIAN STRUCTURES AND PARACONTACT GEOMETRY

DOI10.1142/S0219887809003631zbMath1170.53015arXiv0708.1999MaRDI QIDQ3636447

Beniamino Cappelletti-Montano

Publication date: 30 June 2009

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.1999

zbMATH Keywords

Anosov flowsTanaka-Webster connectionLegendrian foliationsbi-Legendrian connectionunit cotangent bundleparacontact connectionparacontact manifoldsbi-Legendrian manifoldscontact metric \((\kappa,\mu)\)-spacespara-Sasakian structure

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Foliations in differential topology; geometric theory (57R30) Differential line geometry (53A25)

Related Items (9)

Recent advances in paracontact metric geometry ⋮ Sasaki-Einstein and paraSasaki-Einstein metrics from \((\kappa, \mu)\)-structures ⋮ Nullity conditions in paracontact geometry ⋮ Classification of 3-dimensional left-invariant almost paracontact metric structures ⋮ Slant curves in 3-dimensional normal almost paracontact metric manifolds ⋮ The \(\mathcal{M}\)-projective curvature tensor field on generalized \((\kappa, \mu)\)-paracontact metric manifolds ⋮ Nonexistence of \(\mathcal{PR} \)-semi-slant warped product submanifolds in paracosymplectic manifolds ⋮ Unnamed Item ⋮ A SURVEY ON COSYMPLECTIC GEOMETRY

Cites Work

• Unnamed Item
• Legendre foliations on contact manifolds
• On weakly para-cosymplectic manifolds of dimension 3
• Contact metric manifolds satisfying a nullity condition
• Maximally homogeneous para-CR manifolds
• AFFINE HYPERSPHERES ASSOCIATED TO SPECIAL PARA-KÄHLER MANIFOLDS
• Almost paracontact and parahodge structures on manifolds
• Bi-Legendrian connections

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