Faculté des sciences

## Constructing metrics on a 2-torus with a partially prescribed stable norm

### In: Manuscripta Mathematica, 2012, vol. 139, no. 3-4, p. 515-534

A result of Bangert states that the stable norm associated to any Riemannian metric on the 2-torus T ² is strictly convex. We demonstrate that the space of stable norms associated to metrics on T ² forms a proper dense subset of the space of strictly convex norms on R2{/span> . In particular, given a strictly convex norm || · ||∞ on R2{/span> we construct a... More