5-dimensional contact manifolds with second Betti number \(b_ 2=0\)

DOI10.2748/tmj/1178227872zbMath0654.53051OpenAlexW1982700695WikidataQ125761260 ScholiaQ125761260MaRDI QIDQ1108597

Domenico Perrone

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2748/tmj/1178227872

zbMATH Keywords

scalar curvatureSasakian manifoldBetti numberhomeomorphic to a sphere

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

A survey of Riemannian contact geometry ⋮ Five-dimensional homogeneous contact manifolds and related problems

Cites Work

• On curvature and characteristic of homogeneous spaces
• On contact manifolds
• On some 4-dimensional compact Einstein almost Kähler manifolds
• Spectral rigidity of compact Kaehler and contact manifolds
• On the curvature of compact Hermitian manifolds
• Contact manifolds in Riemannian geometry
• Harmonic forms and Betti numbers of certain contact Riemannian manifolds
• The topology of contact Riemannian manifolds
• Sasakian manifold with pseudo-Riemannian metric
• Variétés kählériennes compactes
• The generalized Poincaré conjecture in higher dimensions
• Nonnegatively Curved Contact Manifolds
• On normal homogeneous Einstein manifolds
• Rigidity of Positively Curved Contact Manifolds

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