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arxiv: 1705.03522 · v1 · pith:UKRVNAF4new · submitted 2017-05-09 · 🧮 math.DG

Kronecker webs, Nijenhuis operators, and nonlinear PDEs

classification 🧮 math.DG
keywords bihamiltoniankroneckernijenhuispartialpdeswebsachievedbisymplectic
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The aim of this paper is two-fold. First, a survey of the theory of Kronecker webs and their relations with bihamiltonian structures and PDEs is presented. Second, a partial solution to the problem of bisymplectic realization of a bihamiltonian structure is given. Both the goals are achieved by means of the notion of a partial Nijenhuis operator, which is studied in detail.

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