Sur la forme de la boule unité de la norme stable unidimensionnelle

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dc.creatorBabenko, Ivan K.
dc.creatorBalacheff, Florent N.
dc.date2005-02-22
dc.date.accessioned2026-07-07T07:44:02Z
dc.date.available2026-07-07T07:44:02Z
dc.descriptionFor a Riemannian polyhedra, we study the geometry of the unit ball for the unidimensional stable norm (stable ball). In the case of a unidimensional Riemannian polyhedra (graph), we show that the stable ball is a polytope whose vertices are completely described by combinatorial properties of the graph. We study then the realizable forms as stable ball of Riemannan manifolds of dimension larger than three. For a Riemannian manifold $(M, g)$ fixed, we show that a broad class of polytopes can appear as stable ball of metrics in the conformal class of $g$. We use for that a polyhedral technique.
dc.description13 pages, in French
dc.identifierhttps://arxiv.org/abs/math/0502454
dc.identifierhttp://arxiv.org/abs/math/0502454
dc.identifierManuscripta Mathematica 119 (2006) 347-358
dc.identifierdoi:10.1007/s00229-005-0622-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123049
dc.subjectDifferential Geometry
dc.subjectCombinatorics
dc.subjectMetric Geometry
dc.subjectMSC (2000) : 05C38, 52B05, 53C20, 53C23
dc.titleSur la forme de la boule unité de la norme stable unidimensionnelle
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