Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• ISSN: 1815-0659
• Main Author: Beffa, G.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149050
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems / G.M. Beffa // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 51 назв. — англ.

In this paper we present an overview of the connection between completely integrable systems and the background geometry of the flow. This relation is better seen when using a group-based concept of moving frame introduced by Fels and Olver in [Acta Appl. Math. 51 (1998), 161-213; 55 (1999), 127-208...