On equivalence of third order linear differential operators on two-dimensional manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:146

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: 3-rd order partial differential operator;    Jet bundle;    Differential invariant;    Equivalence problem;   

DOI  :  10.1016/j.geomphys.2019.103507

来源: Elsevier

【 摘 要 】

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

【 授权许可】

Free