3 papers
math.DG2006
Sur la systole de la sphère au voisinage de la métrique standard
Florent Balacheff
We study the systolic area (defined as the ratio of the area over the square of the systole) of the 2-sphere endowed with a smooth riemannian metric as a function of this metric. T…
math.CO2005
Invariant d'Hermite des jacobiennes de graphes pondérés
Florent Balacheff
To any weighted graph of first Betti number b is naturally associated a lattice of dimension b, definite in a similar way that the jacobian for a Riemann surface. This class of lat…
math.DG2005
Sur la forme de la boule unité de la norme stable unidimensionnelle
Ivan K. Babenko, Florent N. Balacheff
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), w…