  Finsler geometry is a natural generalization of (pseudo-)Riemannian geometry,
where the line element is not the square root of a quadratic form but a more
general homogeneous function. Parameterizing this in terms of symmetric tensors
suggests a possible interpretation in terms of higher-spin fields. We will see
here that, at linear level in these fields, the Finsler version of the Ricci
tensor leads to the curved-space Fronsdal equation for all spins, plus a
Stueckelberg-like coupling. Nonlinear terms can also be systematically
analyzed, suggesting a possible interacting structure. No particular choice of
spacetime dimension is needed. The Stueckelberg mechanism breaks gauge
transformations to a redundancy that does not change the geometry. This is
however not enough to eliminate non-transverse modes, at least for some
versions of Finsler dynamics.
