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arXiv · 1705.03522

Kronecker webs, Nijenhuis operators, and nonlinear PDEs

Andriy Panasyuk
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Abstract

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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Andriy Panasyuk. 2017-05-09. Kronecker webs, Nijenhuis operators, and nonlinear PDEs. https://arxiv.org/abs/1705.03522

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