English

On natural invariants and equivalence of differential operators

Differential Geometry 2023-05-31 v1 Mathematical Physics math.MP

Abstract

We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of order k2k\ge 2 on a smooth manifold of dimension n2n\ge 2 and show their application to the equivalence problem of such operators.

Keywords

Cite

@article{arxiv.2212.12684,
  title  = {On natural invariants and equivalence of differential operators},
  author = {Valentin Lychagin and Valeriy Yumaguzhin},
  journal= {arXiv preprint arXiv:2212.12684},
  year   = {2023}
}