A note on the formality of some contact manifolds
type: Item
instance of: scholarly article
title: A note on the formality of some contact manifolds
zbMATH Open document ID: 1421.53047
author: Augustin Banyaga
author: Jean Baptiste Gatsinzi
author: Fortuné Massamba
published in: Journal of Geometry
publication date: 2018-05-30T00:00:00Z
review text: In a seminal paper [Invent. Math. 29, 245--274 (1975; Zbl 0312.55011)], \textit{P. Deligne} et al. proved that any compact Kähler manifold is a formal space. In the main result of the present paper, the authors prove the analogue for some contact manifolds, that arise as the total space of certain circle and sphere bundles over symplectic manifolds, including in particular some Sasakian manifolds.
reviewed by: Vagn Lundsgaard Hansen
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53D05
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 53D10
zbMATH DE Number: 6876748
zbMATH Keywords: contact manifold
zbMATH Keywords: Kähler manifold
zbMATH Keywords: Sasakian manifold
zbMATH Keywords: homogeneous space
zbMATH Keywords: formality
MaRDI profile type: Publication
full work available at URL: s00022-018-0409-3
OpenAlex ID: W2798163831
cites work: On formality of Sasakian manifolds
cites work: Riemannian geometry of contact and symplectic manifolds
cites work: Q5445710
cites work: Examples of compact K-contact manifolds with no Sasakian metric
cites work: Hard Lefschetz theorem for Sasakian manifolds
cites work: A non-Sasakian Lefschetz \(K\)-contact manifold of Tievsky type
cites work: Real homotopy theory of Kähler manifolds
cites work: On simply connected \(K\)-contact non-Sasakian manifolds
cites work: Q4505020
cites work: Q5387213
cites work: Q4150360
cites work: Lectures on minimal models
cites work: Some notes on differentiable manifolds with almost contact structures
cites work: Simply connected K-contact and Sasakian manifolds of dimension 7
cites work: Infinitesimal computations in topology
cites work: Symplectic manifolds with no Kähler structure
DOI: 10.1007/S00022-018-0409-3
description: scientific article; zbMATH DE number 6876748