English

Metrisability of three-dimensional projective structures

Differential Geometry 2018-01-18 v2

Abstract

We solve the metrisability problem for generic three-dimensional projective structures.

Keywords

Cite

@article{arxiv.1712.06191,
  title  = {Metrisability of three-dimensional projective structures},
  author = {Michael Eastwood},
  journal= {arXiv preprint arXiv:1712.06191},
  year   = {2018}
}

Comments

14 pages. As pointed out by Maciej Dunajski, the previous proof of Theorem 3 was incomplete. In this version, the proof is complete. Also, following helpful discussions with Felipe Contatto and Maciej Dunajski, Theorem 4 has been added

R2 v1 2026-06-22T23:20:53.873Z