English

On equivalence of third order linear differential operators on two-dimensional manifolds

Analysis of PDEs 2019-10-02 v1 Differential Geometry

Abstract

We study differential invariants of the third order linear differential operators and use them to find conditions for equivalence of differential operators acting in line bundles on two dimensional manifolds with respect to groups of authomorphisms.

Keywords

Cite

@article{arxiv.1904.08664,
  title  = {On equivalence of third order linear differential operators on two-dimensional manifolds},
  author = {Valentin Lychagin and Valeriy Yumaguzhin},
  journal= {arXiv preprint arXiv:1904.08664},
  year   = {2019}
}