78 citations · 1.2k across the 112 of their papers we have counts for
5 papers · 1 filter
Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields
Vladimir S. Matveev, Yuri Nikolayevsky
Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fiel…
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…
Canonical curves and Kropina metrics in Lagrangian contact geometry
T. Ma, K. J. Flood, V. S. Matveev +1
We present a Fefferman-type construction from Lagrangian contact to conformal structures and examine several related topics. In particular, we concentrate on describing the canonic…