20 publications found

F. Balacheff, G. Solanes, K. Tzanev.
The Santaló point for the Holmes-Thompson boundary area.
Adv. Math., 397, Paper No. 108118, 31. 2022. [DOI]

A. Bernig, D. Faifman, G. Solanes.
Crofton formulas in pseudo-Riemannian space forms.
Compositio Math., 158(10), 1935-1979. 2022. [DOI]

A. Bernig, D. Faifman, G. Solanes.
Curvature measures of pseudo-Riemannian manifolds.
J. Reine Angew. Math., 788, 77-127. 2022. [DOI]

F. Balacheff, S. Karam, H. Parlier.
The minimal length product over homology bases of manifolds.
Math. Ann., 380(1-2), 825-854. 2021. [DOI]

I. Babenko, F. Balacheff, G. Bulteau.
Systolic geometry and simplicial complexity for groups.
J. Reine Angew. Math., 757, 247-277. 2019. [DOI]

S. Karam, F. Balacheff.
Macroscopic Schoen conjecture for manifolds with nonzero simplicial volume.
Trans. Amer. Math. Soc., 372(10), 7071-7086. 2019. [DOI]

J. C. Paiva, K. Tzanev, F. Balacheff.
Isosystolic inequalities for optical hypersurfaces.
Adv. Math., 301, 934-972. 2016. [DOI]

S. Karam, F. Balacheff.
Length product of homologically independent loops for tori.
J TOPOL ANAL, 8(3), 497-500. 2016. [DOI]

F. Balacheff.
Measurements of Riemannian two-disks and two-spheres.
Pacific J. Math., 275(1), 167-181. 2015. [DOI]

J. C. Paiva, F. Balacheff.
Contact geometry and isosystolic inequalities.
Geom. Funct. Anal., 24(2), 648-669. 2014. [DOI]

F. Balacheff, E. Makover, H. Parlier.
Systole growth for finite area hyperbolic surfaces.
Ann. Fac. Sci. Toulouse Math. (6), 23(1), 175-180. 2014. [DOI]

F. Balacheff, H. Parlier.
Bers' constants for punctured spheres and hyperelliptic surfaces.
J TOPOL ANAL, 4(3), 271-296. 2012. [DOI]

F. Balacheff, H. Parlier, S. Sabourau.
Short loop decompositions of surfaces and the geometry of Jacobians.
Geom. Funct. Anal., 22(1), 37-73. 2012. [DOI]

F. Balacheff.
A local optimal diastolic inequality on the two-sphere.
J TOPOL ANAL, 2(1), 109-121. 2010. [DOI]

F. Balacheff, S. Sabourau.
Diastolic and isoperimetric inequalities on surfaces.
Ann. Sci. École Norm. Sup. (4), 43(4), 579-605. 2010. [DOI]

F. Balacheff, C. Croke, M. G. Katz.
A Zoll counterexample to a geodesic length conjecture.
Geom. Funct. Anal., 19(1), 1-10. 2009. [DOI]

F. Balacheff, D. Massart.
Stable norms of non-orientable surfaces.
Ann. Inst. Fourier (Grenoble), 58(4), 1337-1369. 2008.

F. Balacheff.
Volume entropy, weighted girths and stable balls on graphs.
J GRAPH THEOR, 55(4), 291-305. 2007. [DOI]

F. Balacheff.
Invariant d'Hermite du réseau des flots entiers d'un graphe pondéré.
Enseignement Math. (2), 52(3-4), 255-266. 2006.

F. Balacheff.
Sur la systole de la sphère au voisinage de la métrique standard.
Geom. Dedicata, 121, 61-71. 2006. [DOI]