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

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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… Click to show full abstract

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 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.

Keywords: differential operators; vector bundles; linear differential; acting vector; second order

Journal Title: Journal of Geometry and Physics
Year Published: 2020

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