Finsler manifold

This article describes an additional structure on a differential manifold
View other additional structures

Definition

A Finsler manifold is the following data:

• A differential manifold $M$
• A Banach norm on each tangent space such that the Banach norm is smooth as a function of position.

Relation with other structures

Stronger structures

• Riemannian manifold: Here the Banach norm is the usual norm associated with the inner product