English

Third order ODEs and four-dimensional split signature Einstein metrics

Differential Geometry 2009-11-11 v1

Abstract

We construct a family of split signature Einstein metrics in four dimensions, corresponding to particular classes of third order ODEs considered modulo fiber preserving transformations of variables.

Cite

@article{arxiv.math/0501024,
  title  = {Third order ODEs and four-dimensional split signature Einstein metrics},
  author = {Michal Godlinski and Pawel Nurowski},
  journal= {arXiv preprint arXiv:math/0501024},
  year   = {2009}
}