Ricci flat 4-metrics with bidimensional null orbits : Part I. General Aspects and Nonabelian Case ; Part II. The Abelian Case
Academic Article
Publication Date:
2006
Citation:
Ricci flat 4-metrics with bidimensional null orbits : Part I. General Aspects and Nonabelian Case ; Part II. The Abelian Case / D. CATALANO FERRAIOLI, V. Alexandre M.. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 0167-8019. - 92:3(2006), pp. 209-239. [10.1007/s10440-006-9022-9]
abstract:
Pseudo-Riemannian 4-metrics with bidimensional null Killing orbits are studied. Both Lorentzian and Kleinian (or neutral) cases, are treated simultaneously. Under the assumption that the distribution orthogonal to the orbits is completely integrable a complete exact description of Ricci flat metrics admitting a bidimensional nonabelian Killing algebra is found.
IRIS type:
01 - Articolo su periodico
Keywords:
Einstein metrics; Ricci flat metrics; Killing algebra; null orbits; Kleinian metrics; Lorentzian metrics
List of contributors:
D. CATALANO FERRAIOLI, V. Alexandre M.
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