Differential-geometric structures defining higher order contact transformationsстатья
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Дата последнего поиска статьи во внешних источниках: 4 февраля 2014 г.
Аннотация:The paper is devoted to the study of differential-geometric structures generated by Lie-Bäcklund transformations (or, what is the same, higher order contact transformations), which are a special case of diffeomorphisms between two manifolds of holonomic jets of sections. We study the structure of the fundamental object of a second order contact diffeomorphism (2-diffeomorphism). We also consider the case when a 2-diffeomorphism is given by explicit equations connecting local coordinates of 2-jet manifolds and establish conditions under which 2-diffeomorphisms defined by explicit equations are contact diffeomorphisms.