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arXiv · 2004.09302

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

Valentin Lychagin
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Abstract

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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Valentin Lychagin. 2020-04-17. On equivalence of second order linear differential operators, acting in vector bundles. https://doi.org/10.1016/j.geomphys.2020.103749

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