We present a global characterization of the Chern and Bernwald connections induced by a Finsler metric, illustrating their similarities and differences with respect to the Cartan connection. Furthermore, using the symplectic structure canonically associated to a Finsler metric, we describe a minimal compatibility condition between a vertical connection and a Finsler metric.

A characterization of the Chern and Bernwald connections

ABATE, MARCO
1996-01-01

Abstract

We present a global characterization of the Chern and Bernwald connections induced by a Finsler metric, illustrating their similarities and differences with respect to the Cartan connection. Furthermore, using the symplectic structure canonically associated to a Finsler metric, we describe a minimal compatibility condition between a vertical connection and a Finsler metric.
1996
Abate, Marco
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/55977
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact