Balacheff, Florent; Sabourau, Stéphane Diastolic and isoperimetric inequalities on surfaces. arXiv:2402.01554 Preprint, arXiv:2402.01554 [math.DG] (2024). MSC: 53C23 53C20 58E10 BibTeX Cite \textit{F. Balacheff} and \textit{S. Sabourau}, ``Diastolic and isoperimetric inequalities on surfaces'', Preprint, arXiv:2402.01554 [math.DG] (2024) Full Text: DOI arXiv OA License
Sabourau, Stéphane Macroscopic scalar curvature and local collapsing. (English. French summary) Zbl 1508.53051 Ann. Sci. Éc. Norm. Supér. (4) 55, No. 4, 919-936 (2022). MSC: 53C23 53C20 51K10 PDFBibTeX XMLCite \textit{S. Sabourau}, Ann. Sci. Éc. Norm. Supér. (4) 55, No. 4, 919--936 (2022; Zbl 1508.53051) Full Text: DOI arXiv
Katz, Mikhail G.; Sabourau, Stéphane Systolically extremal nonpositively curved surfaces are flat with finitely many singularities. (English) Zbl 1484.53077 J. Topol. Anal. 13, No. 2, 319-347 (2021). Reviewer: Bożena Piątek (Gliwice) MSC: 53C22 53C23 53C20 PDFBibTeX XMLCite \textit{M. G. Katz} and \textit{S. Sabourau}, J. Topol. Anal. 13, No. 2, 319--347 (2021; Zbl 1484.53077) Full Text: DOI arXiv
Nabutovsky, Alexander; Rotman, Regina; Sabourau, Stéphane Sweepouts of closed Riemannian manifolds. (English) Zbl 1486.53054 Geom. Funct. Anal. 31, No. 3, 721-766 (2021). Reviewer: Jialong Deng (Beijing) MSC: 53C23 53C20 57R19 PDFBibTeX XMLCite \textit{A. Nabutovsky} et al., Geom. Funct. Anal. 31, No. 3, 721--766 (2021; Zbl 1486.53054) Full Text: DOI arXiv
Sabourau, Stéphane One-cycle sweepout estimates of essential surfaces in closed Riemannian manifolds. (English) Zbl 1455.53069 Am. J. Math. 142, No. 4, 1051-1082 (2020). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C23 53C20 PDFBibTeX XMLCite \textit{S. Sabourau}, Am. J. Math. 142, No. 4, 1051--1082 (2020; Zbl 1455.53069) Full Text: DOI
Cossarini, Marcos; Sabourau, Stéphane Minimal area of Finsler disks with minimizing geodesics. arXiv:2010.00701 Preprint, arXiv:2010.00701 [math.MG] (2020). MSC: 53C23 53C60 53C65 BibTeX Cite \textit{M. Cossarini} and \textit{S. Sabourau}, ``Minimal area of Finsler disks with minimizing geodesics'', Preprint, arXiv:2010.00701 [math.MG] (2020) Full Text: DOI arXiv OA License
Sabourau, Stéphane; Yassine, Zeina A systolic-like extremal genus two surface. (English) Zbl 1428.53049 J. Topol. Anal. 11, No. 3, 721-738 (2019). MSC: 53C22 53C23 58E10 PDFBibTeX XMLCite \textit{S. Sabourau} and \textit{Z. Yassine}, J. Topol. Anal. 11, No. 3, 721--738 (2019; Zbl 1428.53049) Full Text: DOI
Sabourau, Stéphane Small volume of balls, large volume entropy and the Margulis constant. (English) Zbl 1391.53052 Math. Ann. 369, No. 3-4, 1557-1571 (2017). Reviewer: Lizhen Ji (Ann Arbor) MSC: 53C23 53C20 PDFBibTeX XMLCite \textit{S. Sabourau}, Math. Ann. 369, No. 3--4, 1557--1571 (2017; Zbl 1391.53052) Full Text: DOI HAL
Sabourau, Stéphane; Yassine, Zeina Optimal systolic inequalities on Finsler Möbius bands. (English) Zbl 1337.53092 J. Topol. Anal. 8, No. 2, 349-372 (2016). MSC: 53C60 53C23 53C22 PDFBibTeX XMLCite \textit{S. Sabourau} and \textit{Z. Yassine}, J. Topol. Anal. 8, No. 2, 349--372 (2016; Zbl 1337.53092) Full Text: DOI arXiv
Katz, Mikhail G.; Sabourau, Stéphane Dyck’s surfaces, systoles, and capacities. (English) Zbl 1314.53074 Trans. Am. Math. Soc. 367, No. 6, 4483-4504 (2015). MSC: 53C23 30F10 58J60 PDFBibTeX XMLCite \textit{M. G. Katz} and \textit{S. Sabourau}, Trans. Am. Math. Soc. 367, No. 6, 4483--4504 (2015; Zbl 1314.53074) Full Text: DOI arXiv
Sabourau, Stéphane Growth of quotients of groups acting by isometries on Gromov-hyperbolic spaces. (English) Zbl 1286.20057 J. Mod. Dyn. 7, No. 2, 269-290 (2013). Reviewer: Andrzej Szczepański (Gdańsk) MSC: 20F69 53C20 20F67 20E07 53C23 20F65 PDFBibTeX XMLCite \textit{S. Sabourau}, J. Mod. Dyn. 7, No. 2, 269--290 (2013; Zbl 1286.20057) Full Text: DOI arXiv
Katz, Mikhail G.; Sabourau, Stéphane Hyperellipticity and systoles of Klein surfaces. (English) Zbl 1267.53044 Geom. Dedicata 159, 277-293 (2012). Reviewer: Lizhen Ji (Ann Arbor) MSC: 53C23 30F10 58J60 PDFBibTeX XMLCite \textit{M. G. Katz} and \textit{S. Sabourau}, Geom. Dedicata 159, 277--293 (2012; Zbl 1267.53044) Full Text: DOI arXiv
Sabourau, Stéphane Isosystolic genus three surfaces critical for slow metric variations. (English) Zbl 1246.53061 Geom. Topol. 15, No. 3, 1477-1508 (2011). Reviewer: Leonid Kovalev (Syracuse) MSC: 53C23 53C20 53C22 53C38 PDFBibTeX XMLCite \textit{S. Sabourau}, Geom. Topol. 15, No. 3, 1477--1508 (2011; Zbl 1246.53061) Full Text: DOI
Katz, Karin Usadi; Katz, Mikhail G.; Sabourau, Stéphane; Shnider, Steven; Weinberger, Shmuel Relative systoles of relative-essential 2-complexes. (English) Zbl 1228.53056 Algebr. Geom. Topol. 11, No. 1, 197-217 (2011). Reviewer: Sylvain Maillot (Montpellier) MSC: 53C23 57M20 57N65 PDFBibTeX XMLCite \textit{K. U. Katz} et al., Algebr. Geom. Topol. 11, No. 1, 197--217 (2011; Zbl 1228.53056) Full Text: DOI arXiv
Sabourau, Stéphane Local extremality of the Calabi-Croke sphere for the length of the shortest closed geodesic. (English) Zbl 1208.53052 J. Lond. Math. Soc., II. Ser. 82, No. 3, 549-562 (2010). Reviewer: Vladimir Balan (Bucureşti) MSC: 53C23 53C60 58E10 58E11 PDFBibTeX XMLCite \textit{S. Sabourau}, J. Lond. Math. Soc., II. Ser. 82, No. 3, 549--562 (2010; Zbl 1208.53052) Full Text: DOI arXiv
Balacheff, Florent; Sabourau, Stéphane Diastolic and isoperimetric inequalities on surfaces. (Inégalités diastoliques et isopérimétriques sur les surfaces.) (English. French summary) Zbl 1226.53041 Ann. Sci. Éc. Norm. Supér. (4) 43, No. 4, 579-605 (2010). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 53C22 53C23 PDFBibTeX XMLCite \textit{F. Balacheff} and \textit{S. Sabourau}, Ann. Sci. Éc. Norm. Supér. (4) 43, No. 4, 579--605 (2010; Zbl 1226.53041) Full Text: DOI Link
Rudyak, Yuli B.; Sabourau, Stéphane Systolic invariants of groups and 2-complexes via Grushko decomposition. (English) Zbl 1142.53035 Ann. Inst. Fourier 58, No. 3, 777-800 (2008). MSC: 53C23 20E06 55U10 57Q99 PDFBibTeX XMLCite \textit{Y. B. Rudyak} and \textit{S. Sabourau}, Ann. Inst. Fourier 58, No. 3, 777--800 (2008; Zbl 1142.53035) Full Text: DOI arXiv Numdam EuDML
Sabourau, Stéphane Systolic volume of hyperbolic manifolds and connected sums of manifolds. (English) Zbl 1132.53022 Geom. Dedicata 127, 7-18 (2007). Reviewer: Marian Hotloś (Wrocław) MSC: 53C23 53C20 53C22 PDFBibTeX XMLCite \textit{S. Sabourau}, Geom. Dedicata 127, 7--18 (2007; Zbl 1132.53022) Full Text: DOI
Katz, Mikhail G.; Sabourau, Stéphane An optimal systolic inequality for \(\mathrm{CAT}(0)\) metrics in genus two. (English) Zbl 1156.53019 Pac. J. Math. 227, No. 1, 95-107 (2006). Reviewer: Lizhen Ji (Ann Arbor) MSC: 53C20 53C23 PDFBibTeX XMLCite \textit{M. G. Katz} and \textit{S. Sabourau}, Pac. J. Math. 227, No. 1, 95--107 (2006; Zbl 1156.53019) Full Text: DOI arXiv
Sabourau, Stéphane Entropy and systoles on surfaces. (English) Zbl 1112.53031 Ergodic Theory Dyn. Syst. 26, No. 5, 1653-1669 (2006). MSC: 53C22 53C23 PDFBibTeX XMLCite \textit{S. Sabourau}, Ergodic Theory Dyn. Syst. 26, No. 5, 1653--1669 (2006; Zbl 1112.53031) Full Text: DOI
Katz, Mikhail G.; Sabourau, Stéphane Hyperelliptic surfaces are Loewner. (English) Zbl 1090.53045 Proc. Am. Math. Soc. 134, No. 4, 1189-1195 (2006). MSC: 53C23 30F10 PDFBibTeX XMLCite \textit{M. G. Katz} and \textit{S. Sabourau}, Proc. Am. Math. Soc. 134, No. 4, 1189--1195 (2006; Zbl 1090.53045) Full Text: DOI arXiv
Katz, Mikhail G.; Sabourau, Stéphane Entropy of systolically extremal surfaces and asymptotic bounds. (English) Zbl 1097.53027 Ergodic Theory Dyn. Syst. 25, No. 4, 1209-1220 (2005). MSC: 53C23 37C35 53C20 PDFBibTeX XMLCite \textit{M. G. Katz} and \textit{S. Sabourau}, Ergodic Theory Dyn. Syst. 25, No. 4, 1209--1220 (2005; Zbl 1097.53027) Full Text: DOI arXiv
Sabourau, Stéphane Systols of singular plane surfaces of genus two. (Systoles des surfaces plates singulières de genre deux.) (French) Zbl 1074.53034 Math. Z. 247, No. 4, 693-709 (2004). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 53C23 53C20 PDFBibTeX XMLCite \textit{S. Sabourau}, Math. Z. 247, No. 4, 693--709 (2004; Zbl 1074.53034) Full Text: DOI