On 4-dimensional, conformally flat, almost \(\varepsilon\)-Kählerian manifolds

DOI10.1016/j.geomphys.2011.12.007zbMath1242.53026arXiv1110.3775OpenAlexW1759602940MaRDI QIDQ413689

Zbigniew Olszak, Karina Olszak

Publication date: 7 May 2012

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

Full work available at URL: https://arxiv.org/abs/1110.3775

zbMATH Keywords

conformally flat spacesalmost para-Kählerian manifoldalmost pseudo-Kählerian manifoldpara-quaternion

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items (1)

Weyl-Euler-Lagrange equations of motion on flat manifold

Cites Work

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• Almost Kähler Walker 4-manifolds
• Some algebraic and analytical properties of coquaternion algebra
• Constancy of holomorphic sectional curvature in indefinite almost Hermitian manifolds
• A survey on paracomplex geometry
• Compact indefinite almost Kähler Einstein manifolds
• Para-Hermitian and paraquaternionic manifolds
• On Clifford-type structures
• Pseudo-Chern Classes of an Almost Pseudo-Hermitian Manifold
• Quaternionic analysis
• Almost-complex and almost-product Einstein manifolds from a variational principle
• Nonexistence of 4-Dimensional Almost Kaehler Manifolds of Constant Curvature

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