78 citations · 1.2k across the 112 of their papers we have counts for
6 papers · 2 filters
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…
Proof of Laugwitz Conjecture and Landsberg Unicorn Conjecture for Minkowski norms with -symmetry
Ming Xu, Vladimir S. Matveev
For a smooth strongly convex Minkowski norm , we study isometries of the Hessian metric corresponding to the function . Under…
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…
Almost all Finsler metrics have infinite dimensional holonomy group
Balazs Hubicska, Vladimir S. Matveev, Zoltan Muzsnay
We show that the set of Finsler metrics on a manifold contains an open everywhere dense subset of Finsler metrics with infinite-dimensional holonomy groups.
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.
Light cone and Weyl compatibility of conformal and projective structures
Vladimir S. Matveev, Erhard Scholz
In the literature different concepts of compatibility between a projective structure and a conformal structure on a differentiable manifold are used. In particular compatibility in…