\(\mathcal{A}\)-manifolds on a principal torus bundle over an almost Hodge \(\mathcal{A}\)-manifold base

DOI10.1515/umcsmath-2015-0016zbMath1323.53051arXiv1406.2465OpenAlexW4236206916MaRDI QIDQ2517165

Grzegorz Zborowski

Publication date: 17 August 2015

Published in: Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2465

zbMATH Keywords

Killing tensorEinstein-like manifoldtorus bundle\(\mathcal{A}\)-manifoldcyclic parallel Ricci

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Cites Work

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• Einstein metrics on principal torus bundles
• Principal fibre bundles with the 1-dimensional toroidal group
• Isoparametric foliation and a problem of Besse on generalizations of Einstein condition
• Einstein-like manifolds which are not Einstein
• Almost Kähler \({\mathcal A}\)-structures on twistor bundles
• Conformal Killing forms on Riemannian manifolds
• The Ledger curvature conditions and D'Atri geometry
• The fundamental equations of a submersion
• SYMPLECTIC GEODESIC SYMMETRIES ON KÄHLER MANIFOLDS
• K-contact A-manifolds
• Construction of an A-manifold on a principal torus bundle

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