Applications of Nijenhuis geometry: non-degenerate singular points of Poisson–Nijenhuis structures

Author:

Bolsinov Alexey V.ORCID,Konyaev Andrey Yu.,Matveev Vladimir S.

Abstract

AbstractWe study and completely describe pairs of compatible Poisson structures near singular points of the recursion operator satisfying natural non-degeneracy condition.

Funder

Russian Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference21 articles.

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3. Bolsinov, A., Konyaev, A., Matveev, V.: Nijenhuis Geometry III: gl-Regular Nienhuis Operators (2020). arXiv:2007.09506

4. Ferapontov, E.V.: Compatible Poisson brackets of hydrodynamic type. J. Phys. A 34(11), 2377–2388 (2001)

5. Ferapontov, E.V., Lorenzoni, P., Savoldi, A.: Hamiltonian operators of Dubrovin–Novikov type in 2D. Lett. Math. Phys. 105(3), 341–377 (2015)

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