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A pinching theorem for homotopy spheres
Author(s):
Karsten
Grove;
Peter
Petersen
Journal:
J. Amer. Math. Soc.
3
(1990),
671-677.
MSC:
Primary 53C20;
Secondary 53C23, 57R99
MathSciNet review:
1049696
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Additional information
References:
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- -, Excess and rigidity of inner metric spaces, in preparation.
- [GPW]
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- [O]
- Y. Otsu, On manifolds of positive Ricci curvature with large diameter, preprint, Kyushu University. MR 1091941 (91m:53033)
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- P. Petersen V, A finiteness theorem for metric spaces, J. Differential Geom. 31 (1990), 387-395. MR 1037407 (91d:53070)
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- Z. Shen, On the upper estimate of the Betti numbers of long Riemannian manifolds, preprint.
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- K. Shiohama, A sphere theorem for manifolds of positive Ricci curvature, Trans. Amer. Math. Soc. 275 (1983), 811-819. MR 682734 (84c:53041)
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Additional Information:
DOI:
10.1090/S0894-0347-1990-1049696-6
PII:
S0894-0347-1990-1049696-6
Copyright of article:
Copyright
1990,
American Mathematical Society
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