On the Linearization of Certain Singularities of Nijenhuis Operatorsстатья
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Дата последнего поиска статьи во внешних источниках: 10 апреля 2024 г.
Аннотация:We consider a linearization problem for Nijenhuis operators in dimension two around a pointof scalar type in analytic category. The problem was almost completely solved in [8]. One case, however,namely the case of left-symmetric algebra b_1,α, proved to be difficult. Here we solve it and, thus, completethe solution of the linearization problem for Nijenhuis operators in dimension two. The problem turnsout to be related to classical results on the linearization of vector fields and their monodromy mappings.