English

Geometry of neutral metrics in dimesnion four

Differential Geometry 2008-04-15 v1

Abstract

The purpose of this article is to review some recent results on the geometry of neutral signature metrics in dimension four and their twistor spaces. The following topics are considered: Neutral K\"ahler and hyperk\"ahler surfaces, Walker metrics, Neutral anti-self-dual 4-manifolds and projective structures, Twistor spaces of neutral metrics.

Keywords

Cite

@article{arxiv.0804.2132,
  title  = {Geometry of neutral metrics in dimesnion four},
  author = {Johann Davidov and Gueo Grantcharov and Oleg Mushkarov},
  journal= {arXiv preprint arXiv:0804.2132},
  year   = {2008}
}

Comments

20 pages, invited talk at the Thirty Seventh Spring Connference of the Union of Bulgarian Mathematicians, Borovets, April 2-6, 2008