78 citations · 1.2k across the 112 of their papers we have counts for
8 papers · 1 filter
Variationality of conformal geodesics in dimension 3
Boris Kruglikov, Vladimir S. Matveev, Wijnand Steneker
Conformal geodesics form an invariantly defined family of unparametrized curves in a conformal manifold generalizing unparametrized geodesics/paths of projective connections. The e…
Thoughts about potentials with finite-band spectrum and finite-dimensional reductions of integrable systems
Andrey Yu. Konyaev, Vladimir S. Matveev
We repeat, using methods developed for BKM systems, the famous results of S. Novikov (1974), J. Moser (1981, 1982) , and A. Veselov (1980) that relate Schrödinger-Hill operators wi…
Research problems on relations between Nijenhuis geometry and integrable systems
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
The paper surveys open problems and questions related to interplay between the theory of integrable systems with infinitely and finitely many degrees of freedom and Nijenhuis geome…
Finite-dimensional reductions and finite-gap type solutions of multicomponent integrable PDEs
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
The main object of the paper is a recently discovered family of multicomponent integrable systems of partial differential equations, whose particular cases include many well-known…
If a Minkowski billiard is projective, it is the standard billiard
Alexey Glutsyuk, Vladimir S. Matveev
In the recent paper arXiv:2405.13258, the first author of this note proved that if a billiard in a convex domain in is simultaneously projective and Minkowski, then…
On the existence of geodesic vector fields on closed surfaces
Vladimir S. Matveev
We construct an example of a Riemannian metric on the 2-torus such that its universal cover does not admit global Riemann normal coordinates.