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math.DG2023
A Basmajian-type inequality for Riemannian surfaces
Florent Balacheff, David Fisac
We explore for compact Riemannian surfaces whose boundary consists of a single closed geodesic the relationship between orthospectrum and boundary length. More precisely, we establ…
math.DG2023
Short incompressible graphs and -free groups
Florent Balacheff, Wolfgang Pitsch
Consider a finite connected -complex endowed with a piecewise Riemannian metric and whose fundamental group is freely indecomposable, of rank at least , and in which ever…
math.MG2023
Projective transformations of convex bodies and volume product
Florent Balacheff, Gil Solanes, Kroum Tzanev
In this paper we study certain variational aspects of the volume product functional restricted to the space of small projective deformations of a fixed convex body. In doing so, we…