#### Volume 15, issue 3 (2011)

 1 J C Álvarez Paiva, F Balacheff, Infinitesimal systolic rigidity of metrics all of whose geodesics are closed and of the same length arXiv:0912.3413 2 F Balacheff, Sur la systole de la sphère au voisinage de la métrique standard, Geom. Dedicata 121 (2006) 61 MR2276235 3 F Balacheff, A local optimal diastolic inequality on the two-sphere, J. Topol. Anal. 2 (2010) 109 MR2646992 4 C Bavard, Inégalité isosystolique pour la bouteille de Klein, Math. Ann. 274 (1986) 439 MR842624 5 C Bavard, Inégalités isosystoliques conformes pour la bouteille de Klein, Geom. Dedicata 27 (1988) 349 MR960206 6 C Bavard, Inégalités isosystoliques conformes, Comment. Math. Helv. 67 (1992) 146 MR1144618 7 G Besson, G Courtois, S Gallot, Entropies et rigidités des espaces localement symétriques de courbure strictement négative, Geom. Funct. Anal. 5 (1995) 731 MR1354289 8 R L Bryant, On extremals with prescribed Lagrangian densities, from: "Manifolds and geometry (Pisa, 1993)" (editors P de Bartolomeis, F Tricerri, E Vesentini), Sympos. Math. XXXVI, Cambridge Univ. Press (1996) 86 MR1410069 9 D Burago, S Ivanov, On asymptotic volume of Finsler tori, minimal surfaces in normed spaces, and symplectic filling volume, Ann. of Math. $(2)$ 156 (2002) 891 MR1954238 10 D Burago, S Ivanov, Boundary rigidity and filling volume minimality of metrics close to a flat one, Ann. of Math. $(2)$ 171 (2010) 1183 MR2630062 11 E Calabi, Extremal isosystolic metrics for compact surfaces, from: "Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992)" (editor A L Besse), Sémin. Congr. 1, Soc. Math. France (1996) 167 MR1427758 12 C B Croke, M Katz, Universal volume bounds in Riemannian manifolds, from: "Surveys in differential geometry, Vol. VIII (Boston, MA, 2002)" (editor S T Yau), Surv. Differ. Geom. VIII, Int. Press (2003) 109 MR2039987 13 J Eells, L Lemaire, Deformations of metrics and associated harmonic maps, Proc. Indian Acad. Sci. Math. Sci. 90 (1981) 33 MR653945 14 A El Soufi, S Ilias, Riemannian manifolds admitting isometric immersions by their first eigenfunctions, Pacific J. Math. 195 (2000) 91 MR1781616 15 M Gromov, Filling Riemannian manifolds, J. Differential Geom. 18 (1983) 1 MR697984 16 M Gromov, Metric structures for Riemannian and non-Riemannian spaces, Progress in Math. 152, Birkhäuser (1999) MR1699320 17 C Horowitz, K Usadi Katz, M G Katz, Loewner's torus inequality with isosystolic defect, J. Geom. Anal. 19 (2009) 796 MR2538936 18 S V Ivanov, On two-dimensional minimal fillings, Algebra i Analiz 13 (2001) 26 MR1819361 19 M G Katz, Systolic geometry and topology, Math. Surveys and Monogr. 137, Amer. Math. Soc. (2007) MR2292367 20 M G Katz, S Sabourau, Entropy of systolically extremal surfaces and asymptotic bounds, Ergodic Theory Dynam. Systems 25 (2005) 1209 MR2158402 21 M G Katz, S Sabourau, Hyperelliptic surfaces are Loewner, Proc. Amer. Math. Soc. 134 (2006) 1189 MR2196056 22 M G Katz, S Sabourau, An optimal systolic inequality for CAT$(0)$ metrics in genus two, Pacific J. Math. 227 (2006) 95 MR2247874 23 N Nadirashvili, Berger's isoperimetric problem and minimal immersions of surfaces, Geom. Funct. Anal. 6 (1996) 877 MR1415764 24 P M Pu, Some inequalities in certain nonorientable Riemannian manifolds, Pacific J. Math. 2 (1952) 55 MR0048886 25 S Sabourau, Systoles des surfaces plates singulières de genre deux, Math. Z. 247 (2004) 693 MR2077416 26 S Sabourau, Local extremality of the Calabi–Croke sphere for the length of the shortest closed geodesic, J. Lond. Math. Soc. $(2)$ 82 (2010) 549 MR2739055 27 M Troyanov, Prescribing curvature on compact surfaces with conical singularities, Trans. Amer. Math. Soc. 324 (1991) 793 MR1005085