Kronecker webs, Nijenhuis operators, and nonlinear PDEs
Differential Geometry
2017-05-11 v1
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.
Keywords
Cite
@article{arxiv.1705.03522,
title = {Kronecker webs, Nijenhuis operators, and nonlinear PDEs},
author = {Andriy Panasyuk},
journal= {arXiv preprint arXiv:1705.03522},
year = {2017}
}
Comments
32 pages