Cheeger's finiteness theorem for diffeomorphism classes of Riemannian manifolds

Journal fur die Reine und Angewandte Mathematik

Volumn 1984, Issue 349, 1984, Pages 77-82

  Peters, Stefan ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010719586     PISSN: 00754102     EISSN: 14355345     Source Type: Journal    
DOI: 10.1515/crll.1984.349.77     Document Type: Article

References (8)

1. P. Buser, H. Karcher, Gromov's almost flat manifolds, Asterisque 81 (1981).
2. J. Cheeger, Finiteness theorems for Riemannian manifolds, Am. J. of Math. 92 (1970), 61—74.
3. J. Cheeger, D. G. Ebin, Comparison theorems in Riemannian geometry, Amsterdam 1975.
4. J. Dieudonne, Foundations of modern analysis, New York and London 1960.
5. M. Gromov, Structures metriques pour les varietes riemanniennes redige par J. Lafontaine et P. Pansu, Paris 1981.
6. E. Heintze, H. Karcher, A general comparison theorem with applications to volume estimates for sub-manifolds, Ann. sci. Ec. Norm. Sup. 4, 11 (1978), 451—470.
7. A. Weinstein, On the homotopy type of positively pinched manifolds, Arch. d. Math. 18 (1967), 523—524.
8. T. Yamaguchi, On the number of diffeomorphism classes in a certain class of Riemannian manifolds, Pre-print, University of Tsukuba.