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.
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]
Ricci flat 4-metrics with bidimensional null orbits : Part I. General Aspects and Nonabelian Case ; Part II. The Abelian Case
D. CATALANO FERRAIOLI;
2006
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.
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