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Title: Impossible Einstein-Weyl geometries (English)
Author: Eastwood, Michael
Language: English
Journal: Proceedings of the 19th Winter School "Geometry and Physics"
Issue: 1999
Pages: 17-22
Category: math
Summary: In the joint paper of the author with {\it K. P. Tod} [J. Reine Angew. Math. 491, 183-198 (1997; Zbl 0876.53029)] they showed all local solutions of the Einstein-Weyl equations in three dimensions, where the background metric is homogeneous with unimodular isometry group. In particular, they proved that there are no solutions with Nil or Sol as background metric. In this note, these two special cases are presented. (English)
MSC: 53C25
MSC: 53C30
idZBL: Zbl 0984.53019
idMR: MR1758074
Date available: 2009-07-13T21:42:27Z
Last updated: 2012-09-18
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