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

JOURNAL OF GEOMETRY AND PHYSICS

卷:155

Article

Lychagin, Valentin¹ 

[1] Russian Acad Sci, VA Trapeznikov Inst Control Sci, 65 Profsoyuznaya Str, Moscow 117997, Russia

关键词: Differential operator;    Differential invariant;    Equivalence problem;    Vector bundle;   

DOI  :  10.1016/j.geomphys.2020.103749

来源: Elsevier

【 摘 要 】

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 associated with differential operators, are found. These geometrical structures are used to solve the problems of local as well as global equivalence of differential operators. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free