Abstract <p> In this paper, we are starting to develop an algebraic approach to differential equations on smooth manifolds. As a first step, we present a general scheme of this approach, in which the planar case essentially coincides with the traditional formalism of partial differential equations. </p>

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Differential equations on manifolds and Lie algebras

  • V. V. Zharinov

摘要

Abstract

In this paper, we are starting to develop an algebraic approach to differential equations on smooth manifolds. As a first step, we present a general scheme of this approach, in which the planar case essentially coincides with the traditional formalism of partial differential equations.