46 citations · 131 across the 23 of their papers we have counts for
Showing 2015Show all
2 papers · 1 filter
math.DG2015★ 3 cited
Length product of homologically independent loops for tori
Florent Balacheff, Steve Karam
We prove that any Riemannian torus of dimension with unit volume admits homologically independent closed geodesics whose length product is bounded from above by .
math.GT2015★ 11 cited
Systolic geometry and simplicial complexity for groups
Ivan Babenko, Florent Balacheff, Guillaume Bulteau
Twenty years ago Gromov asked about how large is the set of isomorphism classes of groups whose systolic area is bounded from above. This article introduces a new combinatorial inv…