The Kähler-Einstein metrics on a K3 surface cannot be almost Kähler with respect to an opposite almost complex structure

DOI10.2996/kmj/1138043488zbMath0871.53023OpenAlexW2090023365MaRDI QIDQ1911171

Agustín Bonome, Eduardo García-Río, Regina Castro, Luis M. Hervella, Yasuo Matsushita

Publication date: 24 September 1997

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

Full work available at URL: https://doi.org/10.2996/kmj/1138043488

zbMATH Keywords

K3 surfacealmost Kähler structuredouble almost Hermitian manifoldopposite almost complex structure

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

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• Fields of 2-planes and two kinds of almost complex structures on compact 4-dimensional manifolds
• Felder von Flächenelementen in 4-dimensionalen Mannigfaltigkeiten. (Plane element fields in 4-dimensional manifolds)
• On some 4-dimensional compact Einstein almost Kähler manifolds
• Fields of 2-planes on compact simply-connected smooth 4-manifolds
• Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
• Non-existence of almost Kähler structure on hyperbolic spaces of dimension \(2n\) \((\geqq 4)\)
• Integrability of Almost Kaehler Manifolds
• Compact four-dimensional Einstein manifolds

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