On structure of linear differential operators, acting in line bundles

2019/06/05 by Lychagin, Valentin, Yumaguzhin, Valeriy
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.03254

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.

Related

• Invariants of forth order linear differential operators
• Invariants of symbols of the linear differential operators
• Lie algebraic characterization of manifolds
• Differential operators and actions of Lie algebroids
• Représentations irréductibles de certaines algèbres d'opérateurs différentiels