Almost Hermitian manifolds satisfying some curvature conditions

DOI10.2996/kmj/1138036068zbMath0423.53030OpenAlexW1971983088MaRDI QIDQ1134407

Kouei Sekigawa

Publication date: 1979

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

Full work available at URL: https://doi.org/10.2996/kmj/1138036068

zbMATH Keywords

curvature conditionslocally symmetric spacealmost Hermitian manifoldsH-spacesF-spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35)

Related Items (7)

The spectrum of the Laplacian for some 6-dimensional K-spaces ⋮ Unnamed Item ⋮ Sasakian manifolds satisfying certain conditions on \(Q\) tensor ⋮ Geometry of 6-dimensional Hermitian manifolds of the octave algebra ⋮ Unnamed Item ⋮ On some 4-dimensional compact Einstein almost Kähler manifolds ⋮ Nearly Kähler manifolds with positive holomorphic sectional curvature

Cites Work

• Almost hermitian structure on \(S^6\)
• On some 3-dimensional complete Riemannian manifolds satisfying \((X,Y)\cdot R=0\)
• On some 4-dimensional Riemannian manifolds satisfying \(R(X,Y)\cdot R=0\)
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• Almost Hermitian manifolds with constant holomorphic sectional curvature
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• Riemannian manifolds with geodesic symmetries of order 3
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• On conformally flat spaces satisfying a certain condition on the Ricci tensor
• An example of Riemannian manifolds satisfying \(R(X,Y)\cdot R=0\) but not \(\nabla R=0\).
• On a $K$-space of constant holomorphic sectional curvature
• Infinitesimally homogeneous spaces
• Some properties of $6$-dimensional $K$-spaces
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