Ricci Flat Metrics with bidimensional null Orbits and non-integrable orthogonal Distribution by
نویسنده
چکیده
We study Ricci flat 4-metrics of any signature under the assumption that they allow a Lie algebra of Killing fields with 2-dimensional orbits along which the metric degenerates and whose orthogonal distribution is not integrable. It turns out that locally there is a unique (up to a sign) metric which satisfies the conditions. This metric is of signature (++−−) and, moreover, homogeneous possessing a 6-dimensional symmetry algebra. The Diffiety Institute Preprint Series Preprint DIPS–3/2005 December 7, 2005 Available via INTERNET: http://diffiety.ac.ru; http://diffiety.org The Diffiety Institute Ricci Flat Metrics with bidimensional null Orbits and non-integrable orthogonal Distribution
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