论文标题

关于二阶线性差分运算符的等效性,作用于向量束

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

论文作者

Lychagin, Valentin

论文摘要

讨论了第二阶的线性差分运算符的等效问题,即作用于向量束。描述了符号的理性不变性领域,并发现了与差分运算符自然相关的连接。这些几何结构用于解决差异操作员的局部和全球等效性的问题。

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 accosiated with differential operators, are found. These geometrical structures are used to solve the problems of local as well as global equivalency of differential operators.

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