110 citations · 608 across the 39 of their papers we have counts for
3 papers · 2 filters
Geodesics on the Ellipsoid and Monodromy
Chris M. Davison, Holger R. Dullin, Alexey V. Bolsinov
The equations for geodesic flow on the ellipsoid are well known, and were first solved by Jacobi in 1838 by separating the variables of the Hamilton-Jacobi equation. In 1979 Moser…
Magnetic Flows on Homogeneous Spaces
Alexey V. Bolsinov, Bozidar Jovanovic
We consider magnetic geodesic flows of the normal metrics on a class of homogeneous spaces, in particular (co)adjoint orbits of compact Lie groups. We give the proof of the non-com…
Magnetic Geodesic Flows on Coadjoint Orbits
Alexey V. Bolsinov, Bozidar Jovanovic
We describe a class of completely integrable -invariant magnetic geodesic flows on (co)adjoint orbits of a compact connected Lie group with magnetic field given by the Kiril…