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

被引：0

作者：

Lychagin, Valentin ^{[1
]}

机构：

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

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 155卷

基金：

俄罗斯基础研究基金会;

关键词：

Differential operator; Differential invariant; Equivalence problem; Vector bundle;

D O I：

10.1016/j.geomphys.2020.103749

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：6

共 5 条

[1] ON AZUMAYA ALGEBRAS AND FINITE DIMENSIONAL REPRESENTATIONS OF RINGS [J].