A class of non-polarizable symplectic manifolds

DOI10.1007/BF01302708zbMath0608.53032OpenAlexW2131942560MaRDI QIDQ1085810

Mark J. Gotay

Publication date: 1987

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178311

zbMATH Keywords

symplectic manifoldspolarizationsno Kähler structuresnonparallelizable manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Geometric quantization (53D50)

Related Items (6)

Unnamed Item ⋮ \(d_ f\)-cohomology of Lagrangian foliations ⋮ On almost hyper-para-Kähler manifolds ⋮ Quantization on the Virasoro group ⋮ Compact symplectic four solvmanifolds without polarizations ⋮ Obstruction results in quantization theory

Cites Work

• Examples of simply-connected symplectic non-Kählerian manifolds
• The Bott obstruction of the existence of nice polarizations
• Real homotopy theory of Kähler manifolds
• Compact Parallelizable Four Dimensional Symplectic and Complex Manifolds
• On the Structure of Compact Complex Analytic Surfaces, I
• Unnamed Item
• Unnamed Item

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