Geometry of the conharmonic curvature tensor of almost Hermitian manifolds

DOI10.1134/S0001434611070091zbMath1246.53043OpenAlexW2042866193WikidataQ124872035 ScholiaQ124872035MaRDI QIDQ764016

A. Shikhab, V. F. Kirichenko, Aligadgi Rabadanovich Rustanov

Publication date: 13 March 2012

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

Full work available at URL: https://doi.org/10.1134/s0001434611070091

zbMATH Keywords

Riemannian metricKähler manifoldRicci tensorRiemannian curvaturealmost Hermitian manifoldconharmonic curvature tensorpara-Kähler manifoldnearly Kähler structureRiemannian structure

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) (G)-structures (53C10)

Related Items (1)

On the six-dimensional sphere with a nearly Kählerian structure

Cites Work

• Unnamed Item
• The structure of nearly Kähler manifolds
• Curvature identities for Hermitian and almost Hermitian manifolds
• Some almost Hermitian manifolds with constant holomorphic sectional curvature
• Generalized quasi-Kaehlerian manifolds and axioms of CR-submanifolds in generalized Hermitian geometry. II
• Almost Hermitian manifolds with constant holomorphic sectional curvature
• Varieta parakähleriane
• Six dimensional almost complex manifolds defined by means of three-fold vector cross products
• Nearly Kähler manifolds
• Almost Hermitian manifolds with constant holomorphic sectional curvature
• DECOMPOSITION OF QUASI-KAHLER MANIFOLDS WHICH SATISFY THE FIRST CURVATURE CONDITION

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