Gromov's almost flat manifolds
Astérisque, no. 81 (1981) , 154 p. 
@book{AST_1981__81__1_0,
     author = {Buser, Peter and Karcher, Hermann},
     title = {Gromov's almost flat manifolds},
     series = {Ast\'erisque},
     year = {1981},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {81},
     mrnumber = {619537},
     zbl = {0459.53031},
     language = {en},
     url = {https://www.numdam.org/item/AST_1981__81__1_0/}
}
TY  - BOOK
AU  - Buser, Peter
AU  - Karcher, Hermann
TI  - Gromov's almost flat manifolds
T3  - Astérisque
PY  - 1981
IS  - 81
PB  - Société mathématique de France
UR  - https://www.numdam.org/item/AST_1981__81__1_0/
LA  - en
ID  - AST_1981__81__1_0
ER  - 
%0 Book
%A Buser, Peter
%A Karcher, Hermann
%T Gromov's almost flat manifolds
%S Astérisque
%D 1981
%N 81
%I Société mathématique de France
%U https://www.numdam.org/item/AST_1981__81__1_0/
%G en
%F AST_1981__81__1_0
Buser, Peter; Karcher, Hermann. Gromov's almost flat manifolds. Astérisque, no. 81 (1981), 154 p. https://www.numdam.org/item/AST_1981__81__1_0/

[1] Gromov, M. : Almost flat manifolds, J. Diff. Geom. 13 (1978), 231-242. | MR | Zbl | DOI

[2] Aleksandrow, A. D. : Metrische Räume mit einer Krümmung nicht größer als K. In : Der Begriff des Raumes in der Geometrie, Bericht von der Rieman Tagung 1957.

[3] Berger, M. : Les variétés Riemanniennes 1 4-pincées, Ann. Scuola Norm. Sup. Pisa (III) 14 (1960), 161-170 | MR | Zbl | EuDML | Numdam

[4] Bieberbach, L. : Über die Bewegungsgruppen der Euklidischen Räume, I : Math. Ann. 70 (1911), 297-336 | MR | JFM | EuDML | DOI

Bieberbach, L. : Über die Bewegungsgruppen der Euklidischen Räume, II : Math. Ann. 72 (1912), 400-412 | JFM | EuDML

[5] Bourguignon, J. P., Karcher, H. : Curvature operators : Pinching estimates and geometric examples, Ann. scient. Éc. Norm. Sup., 4e série, t. 11 (1978), 71-92. | DOI | Zbl | MR | EuDML | Numdam

[6] Cheeger, J., Gromoll, D. : On the structure of complete manifolds of nonnegative curvature, Ann. Math. 96 (1972), 413-443. | MR | Zbl | DOI

[7] Cheeger, J., Ebin, D. G. : Comparison theorems in Riemannian geometry, North-Holland, Amsterdam 1975. | MR | Zbl

[8] Eberlein, P. : Lattices in spaces of non positive curvature, Ann. of Math. 111 (1980), 435-476. | MR | Zbl | DOI

[9] Gromoll, D., Meyer, W. T. : On complete open manifolds of positive curvature, Ann. of Math. 90 (1969), 75-90. | MR | Zbl | DOI

[10] Gromov, M. : Manifolds of negative curvature, J. Diff. Geom. 13 (1978), 223-230 | MR | Zbl | DOI

[11] Gromov, M. : Synthetic Riemannian geometry, preprint. | Zbl

[12] Grove, K., Karcher, H. : How to conjugate C 1 -close group actions, Math. Z. 132 (1973), 11-20. | MR | Zbl | EuDML | DOI

[13] Grove, K., Karcher, H., Ruh, E. A. : Group actions and curvature, Inv. math. 23 (1974), 31-48 | Zbl | MR | EuDML | DOI

[14] Hausner, M., Schwartz, J. T. : Lie groups, Lie algebras, Gordon and Breach, New York, 1968. | MR | Zbl

[15] Heintze, E., Im Hof, H. C. : Geometry of horospheres, J. Diff. Geom. 12 (1977), 481-491. | MR | Zbl | DOI

[16] Heintze, E., Karcher, H. : A general comparison theorem with applications to volume estimates for submanifolds, Ann. scient. Éc. Norm. Sup., 4e série, t. 11 (1978), 451-470. | DOI | MR | Zbl | EuDML | Numdam

[17] Im Hof, H. C., Ruh, E. A. : An equivariant pinching theorem. Comment. Math. Helv. 50 (1975), 389-401. | MR | Zbl | EuDML | DOI

[18] Karcher, H. : Riemannian center of mass and mollifier smoothing, Comm. Pure and Appl. Math. 30 (1977), 509-541. | MR | Zbl | DOI

[19] Karcher, H. : Report on Gromov's almost flat manifolds, Sém. Bourbaki, (1978/79) Exp. 526. | MR | Zbl | EuDML | Numdam

[20] Klingenberg, W. : Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung, Comment. Math. Helv. 35 (1961), 47-54. | MR | Zbl | EuDML | DOI

[21] Kneser, H. : Funktionentheorie, Vandenhoeck und Ruprecht, Göttingen 1958. | MR

[22] Malcev, A. I. : On a class of homogeneous spaces, Amer. Math. Soc. Transl. No. 39. (1951), 276-307. | MR | Zbl

[23] Min-Oo, Ruh, E. A. : Comparison theorems for compact symmetric spaces, Ann. scient. Éc. Norm. Sup., 4e série, t. 12 (1979), 335-353. | DOI | MR | Zbl | EuDML | Numdam

[24] Min-Oo, Ruh, E. A. : Vanishing theorems and almost symmetric spaces of non-compact type, preprint Bonn 1980. | MR | Zbl

[25] Raghunathan, M. S. : Discrete subgroups of Lie groups, Ergebnisse Band 68, Springer Verlag Berlin etc. 1972. | MR | Zbl