English

Canonical frames for Gl(2)-structures

Differential Geometry 2010-12-07 v2

Abstract

We construct a canonical frame for an arbitrary Gl(2)-structure thus solving the equivalence problem for Gl(2)-structures. Our treatment includes also a problem of contact equivalence of ordinary differential equations and applies to certain classes of vector distributions. Additionally we characterise Gl(2)-structures which are defined by ODEs.

Keywords

Cite

@article{arxiv.1012.0711,
  title  = {Canonical frames for Gl(2)-structures},
  author = {Wojciech Krynski},
  journal= {arXiv preprint arXiv:1012.0711},
  year   = {2010}
}
R2 v1 2026-06-21T16:53:01.020Z