@article{ASENS_2005_4_38_3_387_0, author = {Aubry, Erwann}, title = {Pincement sur le spectre et le volume en courbure de Ricci positive}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {38}, year = {2005}, pages = {387-405}, doi = {10.1016/j.ansens.2005.01.002}, mrnumber = {2166339}, zbl = {1085.53024}, language = {fr}, url = {http://dml.mathdoc.fr/item/ASENS_2005_4_38_3_387_0} }
Aubry, Erwann. Pincement sur le spectre et le volume en courbure de Ricci positive. Annales scientifiques de l'École Normale Supérieure, Tome 38 (2005) pp. 387-405. doi : 10.1016/j.ansens.2005.01.002. http://gdmltest.u-ga.fr/item/ASENS_2005_4_38_3_387_0/
[1] Metrics of positive Ricci curvature with large diameter, Manuscripta Math. 68 (1990) 405-415. | MR 1068264 | Zbl 0711.53036
,[2] Théorème de la Sphère, Séminaire de Théorie Spectrale et Géométrie, Grenoble 18 (2000) 125-155. | Numdam | MR 1812217 | Zbl 1078.53518
,[3] Aubry E., Variétés de courbure de Ricci presque minorée : inégalités géométriques optimales et stabilité des variétés extrémales, Thèse, Institut Fourier, Grenoble, 2003.
[4] Bertrand J., Pincement spectral en courbure de Ricci positive, Prépublications de l'École polytechnique, no 2003-13.
[5] Introduction to Compact Transformation Groups, Pure Appl. Math., vol. 46, Academic Press, New York, 1972. | MR 413144 | Zbl 0246.57017
,[6] On the structure of spaces with Ricci curvature bounded below. I, J. Differential Geom. 46 (1997) 406-480. | MR 1484888 | Zbl 0902.53034
, ,[7] On the structure of spaces with Ricci curvature bounded below. III, J. Differential Geom. 52 (1999) 37-74. | MR 1815411 | Zbl 1027.53043
, ,[8] Shape of manifolds with positive Ricci curvature, Invent. Math. 124 (1996) 175-191. | MR 1369414 | Zbl 0871.53027
,[9] Large manifolds with positive Ricci curvature, Invent. Math. 124 (1996) 193-214. | MR 1369415 | Zbl 0871.53028
,[10] An eigenvalue pinching theorem, Invent. Math. 68 (1982) 253-256. | MR 666162 | Zbl 0505.53018
,[11] Courbure de Ricci et convergence des variétés, in: , (Eds.), Séminaire Bourbakih, Nov. 1997 (exposé no 835), Astérisque, vol. 252, 1998, pp. 7-32. | Numdam | MR 1685585 | Zbl 0976.53038
,[12] Metric Structures for Riemannian and Non-Riemannian Spaces, Progr. Math., vol. 152, Birkhäuser, Boston, 1999. | MR 1699320 | Zbl 0953.53002
,[13] On the spectrum of a Riemannian manifold of positive constant curvature, Osaka J. Math. 17 (1980) 75-93. | MR 558320 | Zbl 0436.58025
,[14] Constantes explicites pour les inégalités de Sobolev sur les variétés riemanniennes compactes, Ann. Inst. Fourier 33 (1983) 151-165. | Numdam | MR 699492 | Zbl 0528.53040
,[15] On manifolds of positive Ricci curvature with large diameter, Math. Z. 206 (1991) 252-264. | MR 1091941 | Zbl 0697.53042
,[16] On eigenvalue pinching in positive Ricci curvature, Invent. Math. 138 (1999) 1-21. | MR 1714334 | Zbl 0988.53011
,[17] On eigenvalue pinching in positive Ricci curvature, Erratum, Invent. Math. 155 (2004) 223. | MR 2025305
,[18] Manifold of positive Ricci curvature with almost maximal volume, J. Amer. Math. Soc. 7 (1994) 299-305. | MR 1231690 | Zbl 0799.53050
,[19] Curvature and differentiable structure on spheres, Bull. Amer. Math. Soc. 77 (1971) 148-150. | MR 270307 | Zbl 0206.50704
,[20] Riemannian Geometry, American Mathematical Society, Providence, RI, 1996. | MR 1390760 | Zbl 0886.53002
,[21] Spaces of Constant Curvature, Publish or Perish, Wilmington, DE, 1984. | MR 928600 | Zbl 0281.53034
,[22] Lipschitz convergence of manifolds of positive Ricci curvature with large volume, Math. Ann. 284 (1989) 423-436. | MR 1001711 | Zbl 0653.53025
,