53 citations · 193 across the 25 of their papers we have counts for
4 papers · 1 filter
Nijenhuis operators with a unity and F-manifolds
Evgenii I. Antonov, Andrey Yu. Konyaev
The core object of this paper is a pair , where is a Nijenhuis operator and is a vector field satisfying a specific Lie derivative condition, i.e., $Lie_{e}L=\opera…
When a -tensor generates separation of variables of a certain metric
Andrey Yu. Konyaev, Jonathan M. Kress, Vladimir S. Matveev
By a -tensor field , we construct an explicit system of differential invariants that vanish if and only if there (locally) exists a metric for which generates…
Applications of Nijenhuis Geometry V: geodesically equivalent metrics and finite-dimensional reductions of certain integrable quasilinear systems
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
We describe all metrics geodesically compatible with a gl-regular Nijenhuis operator . The set of such metrics is large enough so that a generic local curve is a geodesic fo…
Nijenhuis geometry IV: conservation laws, symmetries and integration of certain non-diagonalisable systems of hydrodynamic type in quadratures
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
The paper contains two lines of results: the first one is a study of symmetries and conservation laws of gl-regular Nijenhuis operators. We prove the splitting Theorem for symmetri…