On structure of linear differential operators, acting on line bundles

JOURNAL OF GEOMETRY AND PHYSICS

卷:148

Article

Lychagin, Valentin^1,2  Yumaguzhin, Valeriy^2,3 

[1] Univ Tromso, Tromso, Norway

[2] RAS, Inst Control Sci, Moscow, Russia

[3] RAS, Program Syst Inst, Pereslavl Zalesskiy, Russia

关键词: k-order partial differential operator;    Jet bundle;    Differential invariant;    Equivalence problem;   

DOI  :  10.1016/j.geomphys.2019.103549

来源: Elsevier

【 摘 要 】

We study differential invariants of linear differential operators and use them to find conditions for equivalence of differential operators acting on line bundles over smooth manifolds with respect to groups of automorphisms. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free