# On structure of linear differential operators, acting in line bundles

## TL;DR

This paper investigates the structure of linear differential operators on line bundles, identifying invariants and conditions for their equivalence under automorphism groups on smooth manifolds.

## Contribution

It introduces a framework for understanding differential invariants of linear differential operators acting in line bundles and characterizes their equivalence conditions under automorphisms.

## Key findings

- Derived conditions for operator equivalence under automorphisms
- Identified key invariants characterizing differential operators
- Provided a classification scheme for operators in line bundles

## Abstract

We study differential invariants of linear differential operators and use them to find conditions for equivalence of differential operators acting in line bundles over smooth manifolds with respect to groups of authomorphisms.