Resum
We study the stable norm on the first homology of a Riemannian polyhedron. In the one-dimensional case (metric graphs), the geometry of the unit ball of this norm is completely described by the combinatorial structure of the graph. For a smooth manifold of dimension ≥ 3 and using polyhedral techniques, we show that a large class of polytopes appears as unit ball of the stable norm associated to some metric conformal to a given one.
Idioma original | Francès |
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Pàgines (de-a) | 347-358 |
Nombre de pàgines | 12 |
Revista | Manuscripta Mathematica |
Volum | 119 |
Número | 3 |
DOIs | |
Estat de la publicació | Publicada - de març 2006 |