@article{TSG_2003-2004__22__71_0, author = {Balacheff, Florent}, title = {Sur des probl\`emes de la g\'eom\'etrie systolique}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {71--82}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {22}, year = {2003-2004}, mrnumber = {2136136}, zbl = {1083.53043}, language = {fr}, url = {http://www.numdam.org/item/TSG_2003-2004__22__71_0/} }
TY - JOUR AU - Balacheff, Florent TI - Sur des problèmes de la géométrie systolique JO - Séminaire de théorie spectrale et géométrie PY - 2003-2004 SP - 71 EP - 82 VL - 22 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/item/TSG_2003-2004__22__71_0/ LA - fr ID - TSG_2003-2004__22__71_0 ER -
Balacheff, Florent. Sur des problèmes de la géométrie systolique. Séminaire de théorie spectrale et géométrie, Tome 22 (2003-2004), pp. 71-82. http://www.numdam.org/item/TSG_2003-2004__22__71_0/
[1] Géométrie systolique des sommes connexes et des revêtements cycliques, pre-print (www.math.univ-montp2.fr/prepublications/04-05.pdf).
& ,[2] Inégalité isosystolique pour la bouteille de Klein, Math. Ann., 274 ( 1986), 439-441. | EuDML | MR | Zbl
,[3] Dynamicals Systems with two degrees of freedom, Trans. Amer. Math. Soc, 18 ( 1917), 199-300. | JFM | MR
,[4] Girth of sparse graphs, J. Graph Theory, 39 ( 2002), 194-200. | MR
& ,[5] Simplicial structure of real analytic cut locus, Proc. Amer. Math. Soc, 64 ( 1977), 118-121. | MR | Zbl
,[6] On the period matrix of a Riemann surface of large genus, Inv. Math., 117 ( 1994), 27-56. | EuDML | MR | Zbl
& ,[7] Simple closed geodesics on convex surfaces, J. Differential Geometry, 36 ( 1992), 517-549. | MR | Zbl
& ,[8] Area and the length of the shortest closed geodesic, J. Differential Geometry, 27 ( 1988), 1-22. | MR | Zbl
,[9] Filling Riemannian Manifolds, J. Differential Geometry, 18 ( 1983), 1-147. | MR | Zbl
,[10] Systoles and intersystolic inequalities, Actes de la Table Ronde de Géométrie Différentielle, Sem. Congr., 1 ( 1996), Soc Math. France, 291-362. | MR | Zbl
,[11] Differential Topology, Graduate Texts in Math., Springer Verlag New-York, 33, 1976. | MR | Zbl
,[12] Lectures on closed geodesics, Grundlehren Math. Wiss., 230, Springer Verlag, Berlin, 1978. | MR | Zbl
,[13] On two dimensional isosystolic inequalities, Kodai Math. J., 10 ( 1987), 314-327. | MR | Zbl
,[14] The length of a closed geodesic on a compact surface, Kyushu J. Math., 48-1 ( 1994), 9-18. | MR | Zbl
,[15] The length of the shortest closed geodesic on a 2-dimensional sphere, Int. Math. Res. Not., 23 ( 2002), 1211-1222. | MR | Zbl
& ,[16] Upper bounds on the length ofa shortest closed geodesic and quantitative Hurewicz theorem,J. Eur. Math. Soc, 5- 3 ( 2003), 203-244. | MR | Zbl
& ,[17] Volume, Diameter and the minimal mass of a stationnary 1-cycle, arXiv :Math.DG/0201269, 2002. | MR | Zbl
& ,[18] Some inequalities in certain nonorientable Riemannian manifolds, Pacific J. Math., 2 ( 1952), 55-72. | MR | Zbl
,[19] Filling radius and short closed geodesic of the sphere, Bull. SMF, 132 ( 2004), 105-136. | Numdam | MR | Zbl
,[20] Global and local volume bounds and the shortest geodesic loop, à paraître dans Communications in Analysis and Geometry. | Zbl
,