Some properties of $6$-dimensional $K$-spaces

DOI10.2996/kmj/1138846322zbMath0222.53036OpenAlexW1998650408MaRDI QIDQ5627325

Kichiro Takamatsu

Publication date: 1971

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

Full work available at URL: https://doi.org/10.2996/kmj/1138846322

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (11)

Almost Tachibana recurrent manifolds ⋮ Almost Hermitian manifolds satisfying some curvature conditions ⋮ Differential geometry of K-spaces ⋮ Constancy of holomorphic sectional curvature in almost Hermitian manifolds ⋮ On a $K$-space of constant holomorphic sectional curvature ⋮ Almost Hermitian 6-manifolds revisited ⋮ The structure of nearly Kähler manifolds ⋮ 4-dimensional conformally flat Kähler manifolds ⋮ Classification of a conformally flat K-space ⋮ On almost complex hypersurfaces of a K-space ⋮ Almost complex submanifolds of a 6-dimensional sphere

Cites Work

• On automorphisms of conformally flat \(K\)-spaces
• On the Matsushima's theorem in a compact Einstein \(K\)-space
• On infinitesimal conformal and projective transformations of compact \(K\)- spaces
• On almost analytic vectors in certain almost-hermitian manifolds
• On a decomposition of a almost-analytic vector in a K-space with constant scalar curvature
• On real representations of Kaehlerian manifolds
• On a decomposition of an extended contravariant almost analytic vector in a compact $K$-space with constant scalar curvature
• On certain conditions for a $K$-space to be isometric to a sphere
• Vector Cross Products on Manifolds
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