Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sur la forme de la boule unit\'{e} de la norme stable unidimensionnelle   For 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.

24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org