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Kronecker webs, Nijenhuis operators, and nonlinear PDEs

2017/05/09 by Panasyuk, Andriy
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.03522

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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