53 citations · 193 across the 25 of their papers we have counts for
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Applications of Nijenhuis geometry II: maximal pencils of multihamiltonian structures of hydrodynamic type
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
We connect two a priori unrelated topics, theory of geodesically equivalent metrics in differential geometry, and theory of compatible infinite dimensional Poisson brackets of hydr…
Nijnehuis Geometry III: gl-regular Nijenhuis operators
Alexey Bolsinov, Andrey Konyaev, Vladimir Matveev
We study Nijenhuis operators, that is, (1,1)-tensors with vanishing Nijenhuis torsion under the additional assumption that they are gl-regular, i.e., every eigenvalue has geometric…
Applications of Nijenhuis geometry: Nondegenerate singular points of Poisson-Nijenhuis structures
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
We study and completely describe pairs of compatible Poisson structures near singular points of the recursion operator satisfying natural non-degeneracy condition.