The connections of pseudo-Finsler spaces

Understand

We give an introduction to (pseudo-)Finsler geometry and its connections.

• For most results we provide short and self contained proofs.
• Our study of the Berwald non-linear connection is framed into the theory of connections over general fibered spaces pioneered by Mangiarotti, Modugno and other scholars.
• The main identities for the linear Finsler connection are presented in the general case, and then specialized to some notable cases like Berwald's, Cartan's or Chern-Rund's.