@article{CM_1987__62_1_3_0, author = {Peters, Stefan}, title = {Convergence of riemannian manifolds}, journal = {Compositio Mathematica}, volume = {61}, year = {1987}, pages = {3-16}, mrnumber = {892147}, zbl = {0618.53036}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1987__62_1_3_0} }
Peters, Stefan. Convergence of riemannian manifolds. Compositio Mathematica, Tome 61 (1987) pp. 3-16. http://gdmltest.u-ga.fr/item/CM_1987__62_1_3_0/
1 Sur les variétés Riem. pincées juste au-dessous de 1/4. Ann. Inst. Fourier (Grenoble) 33 (1983) 135-150. | Numdam | MR 699491 | Zbl 0497.53044
:2 A diameter pinching theorem for positive Ricci curvature, to appear.
:3 Gromov's almost flat manifolds. Astérisque 81 (1981). | MR 619537 | Zbl 0459.53031
, :4 I. Chavel (ed.): Differential geometry and complex analysis, a volume dedicated to the memory of H.E. Rauch. Berlin (1985). | MR 780028 | Zbl 0561.00010
5 Finiteness theorems for Riemannian manifolds. Am. J. of Math. 92 (1970) 61-74. | MR 263092 | Zbl 0194.52902
:6 Some regularity theorems in Riem. Geom. Ann. Sc. Éc. Norm. Sup., 4e sér., 14 (1981) 249-260. | Numdam | MR 644518 | Zbl 0486.53014
, :7 Structures métriques pour les variétés Riem. Réd. par J. Lafontaine et P. Pansu, Paris (1981). | MR 682063 | Zbl 0509.53034
:8 Geom. Methoden zur Gewinnung von a-priori-Schranken für harmonische Abb. Man. Math. 40 (1982) 27-77. | MR 679120 | Zbl 0502.53036
, :9 Riemannian center of mass and mollifier smoothing. Comm. pure and appl. math. 30 (1977) 509-541. | MR 442975 | Zbl 0354.57005
:10 Gromov's convergence theorem and its application, to appear in Nagoya Math. J. | Zbl 0587.53043
:11 Effondrement des variétés riemanniennes, d'après J. Cheeger et M. Gromov. Astérisque 121 (1985). | Numdam | MR 768954 | Zbl 0551.53020
:12 Cheeger's finiteness theorem for diffeomorphism classes of Riem. mfs. J. reine ang. Math. 349 (1984) 77-82. | MR 743966 | Zbl 0524.53025
:13 On continuity of injectivity radius function. Math. J. Okayama Univ. 25 (1983) 91-97. | MR 701970 | Zbl 0525.53053
:14 Comparison and finiteness theorems in Riemannian geometry. Geometry of geodesics and related topics. Adv. Studies in Pure M. 3 (1984) 125-181. | MR 758652 | Zbl 0578.53028
:15 On a distance function on the set of differentiable structures. Osaka J. Math. 3 (1966) 65-79. | MR 202149 | Zbl 0168.44301
:16 T.J. Willmore, N. Hitchin (eds): Global Riemannian Geometry. Chichester (1984). | MR 757199 | Zbl 0614.00017
17 On the number of diffeomorphism classes in a certain class of Riemannian mfs, preprint University of Tsukuba. | Zbl 0566.53038
:18 Lipschitz convergence of Riemannian manifolds, to appear in Pacific J. of Math. | MR 917868 | Zbl 0646.53038
, :19 Smoothness of the metric of spaces with two-sided bounded Aleksandrov curvature, Siberian Math. J. 24 (1983) 247-263. | MR 695295 | Zbl 0547.53011
:20 The C1,1-conclusion in Gromov's theory, preprint U. Calif. Berkeley
: