2 papers
math.GT2018
Minimal length product over homology bases of manifolds
Florent Balacheff, Steve Karam, Hugo Parlier
Minkowski's second theorem can be stated as an inequality for -dimensional flat Finsler tori relating the volume and the minimal product of the lengths of closed geodesics which…
math.DG2017
Macroscopic Schoen conjecture for manifolds with non-zero simplicial volume
Florent Balacheff, Steve Karam
We prove that given a hyperbolic manifold endowed with an auxiliary Riemannian metric whose sectional curvature is negative and whose volume is sufficiently small in comparison to…