Rakić duality principle in the almost Hermitian geometry

DOI10.1007/s00022-013-0172-4zbMath1290.53036OpenAlexW2025717176MaRDI QIDQ2441414

Zhivko Zhelev, Maria Ivanova, Veselin T. Videv

Publication date: 24 March 2014

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-013-0172-4

zbMATH Keywords

duality principle\(\lambda\)-plane\(AH_{3}\)-manifoldholomorphic and antiholomorphic curvaturesOsserman tensor

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Local differential geometry of Hermitian and Kählerian structures (53B35)

Cites Work

• Equivalence between the Osserman condition and the Rakić duality principle in dimension 4
• Osserman manifolds of dimension 8
• A curvature characterization of certain locally rank-one symmetric spaces
• On duality principle in Osserman manifolds
• Osserman conjecture in dimension \(n \not= 8, 16\)
• On the duality principle in pseudo-Riemannian Osserman manifolds
• Curvature in the Eighties
• Curvature Tensors on Almost Hermitian Manifolds
• On the axiom of planes and the axiom of spheres in the almost Hermitian geometry
• Osserman manifolds in semi-Riemannian geometry
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