Displaying similar documents to “Seven-dimensional considerations of Einstein's connection. II: The recurrence relations of the second and third kind in 7- g -UFT.”

Impossible Einstein-Weyl geometries

Eastwood, Michael

Similarity:

In the joint paper of the author with [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.