Ricci flat metrics with bidimensional null orbits and non-integrable orthogonal distribution

DOI10.1016/j.difgeo.2006.08.006zbMath1123.53023OpenAlexW2118896508WikidataQ115357809 ScholiaQ115357809MaRDI QIDQ997143

Michael Bächtold

Publication date: 23 July 2007

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2006.08.006

zbMATH Keywords

Einstein metricsnull orbitsRicci flat metricsKilling algebraKleinian 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)

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On local equivalence problem of space-times with two orthogonally transitive commuting Killing fields

Cites Work

• Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects.
• Ricci flat 4-metrics with bidimensional null orbits
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