A note on almost Kähler manifolds

DOI10.1007/BF02940862zbMath0971.53015OpenAlexW2316148340MaRDI QIDQ1969677

Yanyan Li

Publication date: 19 March 2000

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02940862

zbMATH Keywords

Kähler manifoldalmost complex structureEinstein manifoldconstant sectional curvatureconformally flat manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (2)

Almost Kähler metrics and pp-wave spacetimes ⋮ Some properties of curvature tensors and foliations of locally conformal almost Kähler manifolds

Cites Work

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• Non-existence of almost Kähler structure on hyperbolic spaces of dimension \(2n\) \((\geqq 4)\)
• Almost Kähler structures on the Riemannian product of a 3-dimensional hyperbolic space and a real line
• Some simple examples of almost Kähler non-Kähler structures
• Four-dimensional almost Kähler locally symmetric spaces
• On the Holonomy Group of the Conformally Flat Riemannian Manifold
• New Examples of Strictly Almost Kahler Manifolds
• Examples of Compact Non-Kahler almost Kahler Manifolds
• Integrability of Almost Kaehler Manifolds
• Nonexistence of 4-Dimensional Almost Kaehler Manifolds of Constant Curvature

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