Some remarks on almost Kähler 4-manifolds of pointwise constant holomorphic sectional curvature

DOI10.2996/kmj/1138044048zbMath0981.53064OpenAlexW2022028988MaRDI QIDQ1807700

Takuji Sato

Publication date: 11 March 2002

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138044048

zbMATH Keywords

almost complex structurealmost Kähler manifoldconstant holomorphic sectional curvature

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)

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Cites Work

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• Hermitian surfaces of constant holomorphic sectional curvature
• On some 4-dimensional compact Einstein almost Kähler manifolds
• On some compact Einstein almost Kähler manifolds
• Self-dual and anti-self-dual Hermitian surfaces
• Curvature identities for Hermitian and almost Hermitian manifolds
• Non-existence of almost Kähler structure on hyperbolic spaces of dimension \(2n\) \((\geqq 4)\)
• On almost Kähler manifolds of constant curvature
• Almost Kähler manifolds of constant holomorphic sectional curvature
• Four-dimensional almost Kähler-Einstein and *-Einstein manifolds
• Four-dimensional almost Kähler manifolds of pointwise constant holomorphic sectional curvature
• A four-dimensional example of a Ricci flat metric admitting almost-Kähler non-Kähler structure
• Integrability of Almost Kaehler Manifolds

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