A note on the formality of some contact manifolds

DOI10.1007/S00022-018-0409-3zbMath1421.53047OpenAlexW2798163831MaRDI QIDQ1754381

Fortuné Massamba, Augustin Banyaga, Jean Baptiste Gatsinzi

Publication date: 30 May 2018

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-018-0409-3

zbMATH Keywords

Kähler manifoldcontact manifoldformalitySasakian manifoldhomogeneous space

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Symplectic manifolds (general theory) (53D05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Contact manifolds (general theory) (53D10)

Cites Work

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• Simply connected K-contact and Sasakian manifolds of dimension 7
• Real homotopy theory of Kähler manifolds
• Infinitesimal computations in topology
• On simply connected \(K\)-contact non-Sasakian manifolds
• Hard Lefschetz theorem for Sasakian manifolds
• Some notes on differentiable manifolds with almost contact structures
• On formality of Sasakian manifolds
• A non-Sasakian Lefschetz $K$-contact manifold of Tievsky type
• Examples of compact K-contact manifolds with no Sasakian metric
• Lectures on minimal models
• Riemannian geometry of contact and symplectic manifolds
• Symplectic manifolds with no Kähler structure

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