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.
2010
Lorenzoni, Paolo; Pedroni, Marco
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

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/480
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact