58 citations · 141 across the 15 of their papers we have counts for
16 papers
A new approach to separation of variables for the Clebsch integrable system. Part II: Inversion of the Abel--Prym map
Yu. Fedorov, F. Magri, T. Skrypnyk
This is the second part of a paper describing a new concept of separation of variables applied to the classical Clebsch integrable case. The quadratures obtained in Part I (also up…
A new approach to separation of variables for the Clebsch integrable system. Part I: Reduction to quadratures
Yu. Fedorov, F. Magri, T. Skrypnyk
This is the first part of a two-part paper describing a new concept of separation of variables applied to the Clebsch integrable case of the Kirchhoff equations. There are two prin…
The Kowalewski's top revisited
Franco Magri
The paper is a commentary of one section of the celebrated paper by Sophie Kowalewski on the motion of a rigid body with a fixed point. Its purpose is to show that the results of K…
Haantjes manifolds with symmetry
Franco Magri
This paper has two purposes. The first is to introduce the definition of Haantjes manifolds with symmetry. The second is to explain why these manifolds appear in the theory of inte…
The Clebsch System
Franco Magri, Taras Skrypnyk
The Clebsch system is one of the few classical examples of rigid bodies whose equations of motion are known to be integrable in the sense of Liouville. The explicit solution of its…
Haantjes Manifolds and Veselov Systems
Franco Magri
A novel geometric interpretation of the solutions of the WDVV equations formerly found by A.P. Veselov is suggested.