Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606650 | Differential Geometry and its Applications | 2007 | 10 Pages |
Abstract
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 (++ââ) and, moreover, homogeneous possessing a 6-dimensional symmetry algebra.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Michael Bächtold,