English

Invariants of contact sub-pseudo-Riemannian structures and Einstein-Weyl geometry

Differential Geometry 2015-03-25 v1

Abstract

We consider local geometry of sub-pseudo-Riemannian structures on contact manifolds. We construct fundamental invariants of the structures and show that the structures give rise to Einstein-Weyl geometries in dimension 3, provided that certain additional conditions are satisfied.

Keywords

Cite

@article{arxiv.1503.06868,
  title  = {Invariants of contact sub-pseudo-Riemannian structures and Einstein-Weyl geometry},
  author = {Marek Grochowski and Wojciech Krynski},
  journal= {arXiv preprint arXiv:1503.06868},
  year   = {2015}
}