Conformally flat semi-Riemannian manifolds with commuting curvature and Ricci operators

DOI10.3836/tjm/1244208691zbMath1055.53054OpenAlexW2058113590WikidataQ115219843 ScholiaQ115219843MaRDI QIDQ1429194

Kyoko Honda

Publication date: 18 May 2004

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

Full work available at URL: https://doi.org/10.3836/tjm/1244208691

zbMATH Keywords

semi-Riemannian manifoldconformally flat manifoldRicci operatorcomplex sphere

Mathematics Subject Classification ID

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

Related Items

Commutative curvature operators over four-dimensional homogeneous manifolds ⋮ Weakly-Einstein conditions over locally conformally flat Lorentzian three-manifolds ⋮ LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS ⋮ Locally homogeneous four-dimensional manifolds of signature \((2,2)\) ⋮ Conformally flat homogeneous pseudo-Riemannian four-manifolds ⋮ Conformally flat Lorentzian manifolds with special holonomy groups ⋮ Conformally flat algebraic Ricci solitons on Lie groups ⋮ Three-dimensional semi-symmetric homogeneous Lorentzian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetric submanifolds of compact symmetric spaces
• Symmetric submanifolds of Euclidean space
• On conformally flat Lorentzian spaces satisfying a certain condition on the Ricci tensor
• On conformally flat spaces satisfying a certain condition on the Ricci tensor
• Codimension One Isometric Immersions Between Lorentz Spaces
• Spaces of Complex Null Geodesics in Complex-Riemannian Geometry
• Pseudo-Riemannian symmetric spaces
• On Conformally Flat Spaces with Commuting Curvature and Ricci Transformations