Nearly Kähler manifolds with positive holomorphic sectional curvature

DOI10.2996/kmj/1138037043zbMath0573.53022OpenAlexW1992973945MaRDI QIDQ1063262

Kouei Sekigawa, Takuji Sato

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2996/kmj/1138037043

zbMATH Keywords

Einstein manifoldcomplex projective spaceconstant sectional curvaturealmost Hermitian manifoldsnearly Kähler manifoldspinching problems

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
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• Almost Hermitian manifolds satisfying some curvature conditions
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• Homogeneous spaces defined by Lie group automorphisms. I
• Nearly Kähler manifolds
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• Curvature Tensors on Almost Hermitian Manifolds
• A $K$-space of constant holomorphic sectional curvature
• On the Second Cohomology Group of a Kaehler Manifold of Positive Curvature
• RIGIDITY OF POSITIVELY CURVED KAEHLER MANIFOLDS
• Constancy of holomorphic sectional curvature in almost Hermitian manifolds
• Curvature and Betti Numbers. (AM-32)
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