33 citations · 72 across the 4 of their papers we have counts for
5 papers
Lie algebras in vortex dynamics and celestial mechanics - IV
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev
The work of A.V. Borisov, A.E. Pavlov, Dynamics and Statics of Vortices on a Plane and a Sphere - I (Reg. & Ch. Dynamics, 1998, Vol. 3, No 1, p.28-39) introduces a naive descriptio…
Spectra of Sol-manifolds: arithmetic and quantum monodromy
A. V. Bolsinov, H. R. Dullin, A. P. Veselov
The spectral problem of three-dimensional manifolds M_A admitting Sol-geometry in Thurston's sense is investigated. Topologically M_A are torus bundles over a circle with a unimodu…
Integrable geodesic flows on Riemannian manifolds: Construction and Obstructions
Alexey V. Bolsinov, Bozidar Jovanovic
This paper is a review of recent and classical results on integrable geodesic flows on Riemannian manifolds and topological obstructions to integrability. We also discuss some open…
Non-commutative Integrability, Moment Map and Geodesic Flows
Alexey V. Bolsinov, Bozidar Jovanovic
The purpose of this paper is to discuss the relationship between commutative and non-commutative integrability of Hamiltonian systems and to construct new examples of integrable ge…
Integrable geodesic flows on the suspensions of toric automorphisms
A. V. Bolsinov, I. A. Taimanov
For any toric automorphism with only real eigenvalues a Riemannian metric with an integrable geodesic flow on the suspension of this automorphism is constructed. A qualitative anal…