Differential geometry of K-spaces

DOI10.1007/BF01091820zbMath0447.53053WikidataQ115394135 ScholiaQ115394135MaRDI QIDQ1146401

V. F. Kirichenko

Publication date: 1980

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

nearly Kähler manifoldalmost Hermitian manifoldalmost Tachibana space

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

• Zur Differentialgeometrie der komplexen Strukturen
• Almost hermitian structure on \(S^6\)
• K-spaces of constant type
• The first Betti number of a compact almost Tachibana space
• On almost complex hypersurfaces of a K-space
• Almost analytic vector fields in almost complex manifolds
• On almost analytic vectors in certain almost-hermitian manifolds
• Homogeneous spaces defined by Lie group automorphisms. I
• Six dimensional almost complex manifolds defined by means of three-fold vector cross products
• Kähler submanifolds of homogeneous almost Hermitian manifolds
• Nearly Kähler manifolds
• Classification of a conformally flat K-space
• On a decomposition of a almost-analytic vector in a K-space with constant scalar curvature
• On real representations of Kaehlerian manifolds
• Notes on a $K$-space of constant holomorphic sectional curvature
• On a $K$-space of constant holomorphic sectional curvature
• Schur's Theorem for Nearly Kahler Manifolds
• Vector fields in Riemannian and Hermitian manifolds with boundary
• 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
• Almost Complex Submanifolds of the Six Sphere
• Vector Cross Products on Manifolds
• The Second Fundamental Forms of S 6 and P n (C)
• Some properties of $6$-dimensional $K$-spaces
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