Riemann Extensions of Torsion-Free Connections with Degenerate Ricci Tensor

DOI10.4153/CJM-2010-059-2zbMath1220.53026OpenAlexW2046986417MaRDI QIDQ4933499

Eduardo García-Río, Ramón Vázquez-Lorenzo, Esteban Calviño-Louzao

Publication date: 13 October 2010

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2010-059-2

zbMATH Keywords

curvature operatorRiemann extensionWalker metricprojectively flat and recurrent affine connection

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (13)

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 ⋮ IFP transformations on the cotangent bundle with the modified Riemannian extension ⋮ Moduli spaces of type \(\mathcal B\) surfaces with torsion ⋮ Four-dimensional semi-Riemannian Szabó manifolds ⋮ Homogeneous affine surfaces: affine Killing vector fields and gradient Ricci solitons ⋮ Unnamed Item ⋮ On metric connections with torsion on the cotangent bundle with modified Riemannian extension ⋮ Hermitian-Walker 4-manifolds ⋮ Homogeneous affine surfaces: moduli spaces ⋮ Curvature models of conformally flat Walker (2,2)-manifolds ⋮ Unnamed Item ⋮ Unnamed Item

This page was built for publication: Riemann Extensions of Torsion-Free Connections with Degenerate Ricci Tensor