Non-formal co-symplectic manifolds

DOI10.1090/S0002-9947-2014-06361-7zbMath1317.53040arXiv1203.6422MaRDI QIDQ5247007

Giovanni Bazzoni, Marisa Fernández, Vicente Muñoz

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6422

zbMATH Keywords

mapping torusminimal modelformal manifoldco-symplectic manifold

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Massey products (55S30)

Related Items

Locally conformal calibrated \(G_2\)-manifolds, Cosymplectic and \(\alpha\)-cosymplectic Lie algebras, Resolution of four-dimensional symplectic orbifolds, Cosymplectic \(p\)-spheres, Pre-c-symplectic condition for the product of odd-spheres, Twisted monodromy homomorphisms and Massey products, Construction of nice nilpotent Lie groups, Formality and the Lefschetz property in symplectic and cosymplectic geometry, Massey products in mapping tori, \(K\)-cosymplectic manifolds, Zeroth Poisson homology, foliated cohomology and perfect Poisson manifolds, Einstein almost cokähler manifolds, Toric actions in cosymplectic geometry

Cites Work

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• Compact symplectic manifolds with free circle actions, and Massey products
• Topology of co-symplectic/co-Kähler manifolds
• On the nilpotent Lie algebras of dimension \(\leq 7)\)
• Real homotopy theory of Kähler manifolds
• Contact manifolds in Riemannian geometry
• Formal and coformal spaces
• On nonformal simply-connected symplectic manifolds
• Formality of Donaldson submanifolds
• Topology of cosymplectic manifolds
• An 8-dimensional nonformal, simply connected, symplectic manifold
• Some results on cosymplectic manifolds
• The theory of quasi-Sasakian structures
• On fibering certain foliated manifolds over \(S^1\)
• Integrability of almost cosymplectic structures
• Factor spaces of solvable groups
• Classification of minimal algebras over any field up to dimension $6$
• Symplectic manifolds with no Kähler structure
• Riemannian geometry of contact and symplectic manifolds
• Symplectic manifolds with no Kähler structure