English

On three-dimensional Weyl structures with reduced holonomy

Differential Geometry 2009-11-11 v1

Abstract

Cartan's list of 3-dimensional Weyl structures with reduced holonomy is revisited. We show that the only Einstein-Weyl structures on this list correspond to the structures generated by the solutions of the dKP equation.

Cite

@article{arxiv.math/0507160,
  title  = {On three-dimensional Weyl structures with reduced holonomy},
  author = {Michal Godlinski and Pawel Nurowski},
  journal= {arXiv preprint arXiv:math/0507160},
  year   = {2009}
}