no. 1
Convergence of riemannian manifolds
Compositio Mathematica, Tome 62 (1987) no. 1, pp. 3-16. 
@article{CM_1987__62_1_3_0,
     author = {Peters, Stefan},
     title = {Convergence of riemannian manifolds},
     journal = {Compositio Mathematica},
     pages = {3--16},
     publisher = {Martinus Nijhoff Publishers},
     volume = {62},
     number = {1},
     year = {1987},
     mrnumber = {892147},
     zbl = {0618.53036},
     language = {en},
     url = {http://www.numdam.org/item/CM_1987__62_1_3_0/}
}
TY  - JOUR
AU  - Peters, Stefan
TI  - Convergence of riemannian manifolds
JO  - Compositio Mathematica
PY  - 1987
SP  - 3
EP  - 16
VL  - 62
IS  - 1
PB  - Martinus Nijhoff Publishers
UR  - http://www.numdam.org/item/CM_1987__62_1_3_0/
LA  - en
ID  - CM_1987__62_1_3_0
ER  - 
%0 Journal Article
%A Peters, Stefan
%T Convergence of riemannian manifolds
%J Compositio Mathematica
%D 1987
%P 3-16
%V 62
%N 1
%I Martinus Nijhoff Publishers
%U http://www.numdam.org/item/CM_1987__62_1_3_0/
%G en
%F CM_1987__62_1_3_0
Peters, Stefan. Convergence of riemannian manifolds. Compositio Mathematica, Tome 62 (1987) no. 1, pp. 3-16. http://www.numdam.org/item/CM_1987__62_1_3_0/

1 M. Berger: Sur les variétés Riem. pincées juste au-dessous de 1/4. Ann. Inst. Fourier (Grenoble) 33 (1983) 135-150. | EuDML | Numdam | MR | Zbl

2 D. Brittain: A diameter pinching theorem for positive Ricci curvature, to appear.

3 P. Buser, H. Karcher: Gromov's almost flat manifolds. Astérisque 81 (1981). | Numdam | MR | Zbl

4 I. Chavel (ed.): Differential geometry and complex analysis, a volume dedicated to the memory of H.E. Rauch. Berlin (1985). | MR | Zbl

5 J. Cheeger: Finiteness theorems for Riemannian manifolds. Am. J. of Math. 92 (1970) 61-74. | MR | Zbl

6 D. Deturck, J. Kazdan: Some regularity theorems in Riem. Geom. Ann. Sc. Éc. Norm. Sup., 4e sér., 14 (1981) 249-260. | EuDML | Numdam | MR | Zbl

7 M. Gromov: Structures métriques pour les variétés Riem. Réd. par J. Lafontaine et P. Pansu, Paris (1981). | MR | Zbl

8 J. Jost, H. Karcher: Geom. Methoden zur Gewinnung von a-priori-Schranken für harmonische Abb. Man. Math. 40 (1982) 27-77. | EuDML | MR | Zbl

9 H. Karcher: Riemannian center of mass and mollifier smoothing. Comm. pure and appl. math. 30 (1977) 509-541. | MR | Zbl

10 A. Katsuda: Gromov's convergence theorem and its application, to appear in Nagoya Math. J. | Zbl

11 P. Pansu: Effondrement des variétés riemanniennes, d'après J. Cheeger et M. Gromov. Astérisque 121 (1985). | Numdam | MR | Zbl

12 S. Peters: Cheeger's finiteness theorem for diffeomorphism classes of Riem. mfs. J. reine ang. Math. 349 (1984) 77-82. | MR | Zbl

13 T. Sakai: On continuity of injectivity radius function. Math. J. Okayama Univ. 25 (1983) 91-97. | MR | Zbl

14 T. Sakai: Comparison and finiteness theorems in Riemannian geometry. Geometry of geodesics and related topics. Adv. Studies in Pure M. 3 (1984) 125-181. | MR | Zbl

15 Y. Shikata: On a distance function on the set of differentiable structures. Osaka J. Math. 3 (1966) 65-79. | MR | Zbl

16 T.J. Willmore, N. Hitchin (eds): Global Riemannian Geometry. Chichester (1984). | MR | Zbl

17 Y. Yamaguchi: On the number of diffeomorphism classes in a certain class of Riemannian mfs, preprint University of Tsukuba. | Zbl

18 R. Greene, H. Wu: Lipschitz convergence of Riemannian manifolds, to appear in Pacific J. of Math. | MR | Zbl

19 I.G. Nikolaev: Smoothness of the metric of spaces with two-sided bounded Aleksandrov curvature, Siberian Math. J. 24 (1983) 247-263. | MR | Zbl

20 C. Pugh: The C1,1-conclusion in Gromov's theory, preprint U. Calif. Berkeley