3 papers
math.DG2024
Research problems on relations between Nijenhuis geometry and integrable systems
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
The paper surveys open problems and questions related to interplay between the theory of integrable systems with infinitely and finitely many degrees of freedom and Nijenhuis geome…
math-ph2024
Finite-dimensional reductions and finite-gap type solutions of multicomponent integrable PDEs
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
The main object of the paper is a recently discovered family of multicomponent integrable systems of partial differential equations, whose particular cases include many well-known…
math.DG2019
Nijenhuis geometry II: Left-symmetric algebras and linearization problem for Nijenhuis operators
Andrey Yu. Konyaev
A field of endomorphisms is called a Nijenhuis operator if its Nijenhuis torsion vanishes. In this work we study a specific kind of singular points of called points of scal…