English

On equivalence of second order linear differential operators, acting in vector bundles

Differential Geometry 2020-06-24 v2 Analysis of PDEs

Abstract

The equivalence problem for linear differential operators of the second order, acting in vector bundles, is discussed. The field of rational invariants of symbols is described and connections, naturally accosiated with differential operators, are found. These geometrical structures are used to solve the problems of local as well as global equivalency of differential operators.

Keywords

Cite

@article{arxiv.2004.09302,
  title  = {On equivalence of second order linear differential operators, acting in vector bundles},
  author = {Valentin Lychagin},
  journal= {arXiv preprint arXiv:2004.09302},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:2003.12734