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.File in questo prodotto:
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