Some examples of homogeneous Einstein manifolds in dimension seven

DOI10.1215/S0012-7094-82-04902-XzbMath0488.53035OpenAlexW1621729312MaRDI QIDQ1166139

McKenzie Y. K. Wang

Publication date: 1982

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-82-04902-x

zbMATH Keywords

Riemannian submersionRicci tensorAloff-Wallach manifoldshomogeneous Einstein manifoldsLorentz Einstein metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (18)

Real Killing spinors and holonomy ⋮ Diagonalizing cohomogeneity-one Einstein metrics ⋮ Gauge theory on Aloff-Wallach spaces ⋮ On normal homogeneous Einstein manifolds ⋮ Painlevé analysis of the Ricci-flat ordinary differential equations associated with Aloff–Wallach spaces and U(1)-bundles over Fano products ⋮ Homogeneous Einstein metrics and butterflies ⋮ Classifying superpotentials: three summands case ⋮ Unnamed Item ⋮ An Introduction to Certain Topics on Lorentzian Geometry ⋮ Spaces of Riemannian metrics ⋮ The Alekseevskii conjecture in 9 and 10 dimensions ⋮ Geometry of homogeneous Riemannian manifolds ⋮ Homogeneous Einstein metrics on an exceptional Berger space ⋮ Low-dimensional homogeneous Einstein manifolds ⋮ The Alekseevskii conjecture in low dimensions ⋮ Topology of non-negatively curved manifolds ⋮ Homogeneous Einstein metrics on Aloff-Wallach spaces ⋮ Compact homogeneous Einstein 7-manifolds

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