Impossible Einstein-Weyl geometries

Eastwood, Michael

  • Proceedings of the 19th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page 17-22

Abstract

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In the joint paper of the author with 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.

How to cite

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Eastwood, Michael. "Impossible Einstein-Weyl geometries." Proceedings of the 19th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2000. 17-22. <http://eudml.org/doc/220984>.

@inProceedings{Eastwood2000,
abstract = {In the joint paper of the author with 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.},
author = {Eastwood, Michael},
booktitle = {Proceedings of the 19th Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {17-22},
publisher = {Circolo Matematico di Palermo},
title = {Impossible Einstein-Weyl geometries},
url = {http://eudml.org/doc/220984},
year = {2000},
}

TY - CLSWK
AU - Eastwood, Michael
TI - Impossible Einstein-Weyl geometries
T2 - Proceedings of the 19th Winter School "Geometry and Physics"
PY - 2000
CY - Palermo
PB - Circolo Matematico di Palermo
SP - 17
EP - 22
AB - In the joint paper of the author with 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.
KW - Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/220984
ER -

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