The standard CR structure on the unit tangent bundle

DOI10.2748/tmj/1178227248zbMath0779.53024OpenAlexW1963593794MaRDI QIDQ1802553

Shukichi Tanno

Publication date: 17 June 1993

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227248

zbMATH Keywords

integrability conditioncontact manifoldcontact metric structuregauge invariantChern-Moser-Tanaka invariantunit tangent bundles

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (16)

Isotropic almost complex structures on tangent bundles ⋮ A CLASSIFICATION OF SPHERICAL SYMMETRIC CR MANIFOLDS ⋮ A survey of Riemannian contact geometry ⋮ Pseudo-Einstein manifolds ⋮ The Chern-Moser-Tanaka Invariant on Pseudo-Hermitian Almost CR Manifolds ⋮ An immersion theorem for Vaisman manifolds ⋮ On the geometry of tangent hyperquadric bundles: CR and pseudoharmonic vector fields ⋮ \(g\)-natural contact metrics on unit tangent sphere bundles ⋮ On the standard nondegenerate almost CR structure of tangent hyperquadric bundles ⋮ Contact metric manifolds with \(\eta \)-parallel torsion tensor ⋮ On the pseudohermitian curvature of contact semi-Riemannian manifolds ⋮ Contact semi-Riemannian structures in CR geometry: some aspects ⋮ Locally conformally Kähler metrics on Hopf surfaces ⋮ On contact strongly pseudo-convex integrable \(CR\) manifolds ⋮ The Bochner type curvature tensor of pseudo-convex \(CR\)-structures on real hypersurfaces in complex space forms ⋮ A new class of contact Riemannian manifolds

Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
• Pseudo-conformal invariants of type (1,3) of CR manifolds
• The Bochner type curvature tensor of contact Riemannian structure
• Contact manifolds in Riemannian geometry
• Two remarks on contact metric structures
• The curvature of the Sasaki metric of tangent sphere bundles
• On contact structures of tangent sphere bundles
• On the Geometry of the Tangent Bundle.
• Variational Problems on Contact Riemannian Manifolds
• Some theorems on manifolds of constant curvature
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