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Stable Norms of Surfaces: Local Structure of the Unit Ball at Rational Directions
Authors:D. Massart
Affiliation:(1) Daniel Massart, Unité de Mathématiques Pures et Appliqués, Ecole Normale Supérieure de Lyon, F-69364 Lyon cedex 07, France, e-mail: Daniel.Massart@umpa.ens-lyon.fr, FR
Abstract:Let (M, g) be a closed orientable surface, equipped with a smooth Finsler metric. The metric induces a norm on the real homology of M, called a stable norm. We show this norm is neither strictly convex, nor smooth. Submitted: December 1996, final version: June 1997
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