Kronecker webs, Nijenhuis operators, and nonlinear PDEs
Volume 117 / 2019
Banach Center Publications 117 (2019), 177-210
MSC: 53-06, 53-02, 53A60, 37K10.
DOI: 10.4064/bc117-6
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.
