The Riemann extensions with cyclic parallel Ricci tensor

DOI10.1002/mana.201200299zbMath1321.53037OpenAlexW1501670663WikidataQ126065071 ScholiaQ126065071MaRDI QIDQ5169940

Masami Sekizawa, Oldřich Kowalski

Publication date: 16 July 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200299

zbMATH Keywords

affine connectionRiemann extensionparallel Ricci tensorD'Atri space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Moduli spaces of oriented Type A manifolds of dimension at least 3 ⋮ The moduli space of type \(\mathcal{A}\) surfaces with torsion and non-singular symmetric Ricci tensor ⋮ On distinguished local coordinates for locally homogeneous affine surfaces ⋮ Moduli spaces of type \(\mathcal B\) surfaces with torsion ⋮ Four-dimensional semi-Riemannian Szabó manifolds ⋮ Spaces of locally homogeneous affine surfaces ⋮ Homogeneous affine surfaces: moduli spaces ⋮ Unnamed Item

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• Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds
• On natural Riemann extensions
• The geometry of modified Riemannian extensions
• Einstein-Like Lorentz Metrics and Three-Dimensional Curvature Homogeneity of Order One
• Classification of 4-dimensional homogeneous D’Atri spaces
• RIEMANN EXTENSIONS

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