A CLASSIFICATION OF SPHERICAL SYMMETRIC CR MANIFOLDS

DOI10.1017/S0004972709000252zbMath1204.53038arXiv0711.1285OpenAlexW2963512715MaRDI QIDQ3183144

Giulia Dileo, Antonio Lotta

Publication date: 19 October 2009

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

Full work available at URL: https://arxiv.org/abs/0711.1285

zbMATH Keywords

Sasakian manifoldcontact metric manifoldspherical CR structureWebster metricsymmetric CR structure

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35) CR structures, CR operators, and generalizations (32V05)

Related Items (5)

Contact hypersurfaces and CR-symmetry ⋮ Spherical CR-symmetric hypersurfaces in Hermitian symmetric spaces ⋮ Contact metric manifolds with large automorphism group and \((\kappa,\mu)\)-spaces ⋮ Canonical fibrations of contact metric \((\kappa,\mu )\)-spaces ⋮ Contact semi-Riemannian structures in CR geometry: some aspects

Cites Work

• \(\eta\)-parallel contact metric spaces
• Pseudo-conformal invariants of type (1,3) of CR manifolds
• Symmetries and \(\phi\)-symmetric spaces
• On almost contact structures belonging to a CR-structure
• Curvature invariants of CR-manifolds
• Real hypersurfaces in complex manifolds
• Sasakian \(\varphi\)-symmetric spaces
• On the pseudo-conformal geometry of a Kähler manifold
• Spherical hypersurfaces in complex manifolds
• The classification of \(\varphi\)-symmetric Sasakian manifolds
• A class of locally \(\varphi\)-symmetric contact metric spaces
• On tangent sphere bundles with small or large constant radius
• The standard CR structure on the unit tangent bundle
• On contact strongly pseudo-convex integrable \(CR\) manifolds
• Weyl connections and curvature properties of CR manifolds
• Contact metric manifolds satisfying a nullity condition
• On symmetric Cauchy-Riemann manifolds
• On Riemannian \(g\)-natural metrics of the form \(a.gs + b.gh + c.gv\) on the tangent bundle of a Riemannian manifold \((M, g)\)
• On contact structures of tangent sphere bundles
• Bochner-Kähler metrics
• Variational Problems on Contact Riemannian Manifolds
• CONTACT-HOMOGENEOUS LOCALLY $\varphi$-SYMMETRIC MANIFOLDS

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