Given a semi-Hamiltonian system, we construct an F-manifold with a connection satisfying a suitable compatibility condition with the product. We exemplify this procedure in the case of the so-called ε-system. The corresponding connection turns out to be flat, and the flat coordinates give rise to additional chains of commuting flows.
Natural connections for semi-Hamiltonian systems: the case of the ε-system
PEDRONI, Marco
2010-01-01
Abstract
Given a semi-Hamiltonian system, we construct an F-manifold with a connection satisfying a suitable compatibility condition with the product. We exemplify this procedure in the case of the so-called ε-system. The corresponding connection turns out to be flat, and the flat coordinates give rise to additional chains of commuting flows.File allegato/i alla scheda:
File | Dimensione del file | Formato | |
---|---|---|---|
wpDIIMM_n.1MS-2010.pdf
accesso aperto
Versione:
publisher's version - versione editoriale
Licenza:
Licenza default Aisberg
Dimensione del file
298.11 kB
Formato
Adobe PDF
|
298.11 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
Aisberg ©2008 Servizi bibliotecari, Università degli studi di Bergamo | Terms of use/Condizioni di utilizzo