Sur la forme de la boule unité de la norme stable unidimensionnelle
Babenko, Ivan (Université Montpellier II. Institut de Mathématiques et de Modélisation de Montpellier)
Balacheff, Florent Nicolas (Université Montpellier II. Institut de Mathématiques et de Modélisation de Montpellier)

Data:	2006
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.
Drets:	Tots els drets reservats.
Llengua:	Francès
Document:	Article ; recerca ; Versió acceptada per publicar
Publicat a:	Manuscripta Mathematica, Vol. 119 (February 2006) , p. 347-358, ISSN 1432-1785

DOI: 10.1007/s00229-005-0622-x

12 p, 458.0 KB

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