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A finiteness theorem for Ricci curvature in dimension three
Author(s):
Shun-Hui
Zhu
Journal:
Bull. Amer. Math. Soc.
23
(1990),
423-426.
MSC (1985):
Primary 53C20
MathSciNet review:
1027905
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References:
- [AG] U. Abresch and D. Gromoll, On complete manifolds with nonnegative Ricci curvature, preprint. MR 1030656
- [An] M. Anderson, Short geodesics and gravitational instantons, preprint. MR 1030673
- [CG] J. Cheeger and D. Gromoll, The splitting theorem for manifold of nonnegative Ricci curvature, J. Differential Geom. 6 (1971), 119-129. MR 303460
- [Ch] J. Cheeger, Finiteness theorems for Riemannian manifolds, Amer. J. Math. 92 (1970), 61-74. MR 263092
- [GP] K. Grove and P. Petersen, Bounding homotopy types by geometry, Ann. of Math. 128 (1988), 195-206. MR 951512
- [GWP] K. Grove, P. Petersen and J. Wu, Controlled topology in geometry, Bull. Amer. Math. Soc. 20 (1989), 181-183. MR 974425
- [He] J. Hempel, 3-manifolds, Ann. of Math. Stud. 86 (1976). MR 415619
- [Pe] S. Peters, Cheeger's finiteness theorem for diffeomorphism classes of Riemannian manifolds, J. Reine Angew. Math. 394 (1984), 77-82. MR 743966
- [Pet] P. Petersen, A finiteness theorem for metric spaces, preprint. MR 1037407
- [SCY] R. Schoen and S. T. Yau, Complete three dimensional manifolds with positive Ricci curvature and scalar curvature, Ann. of Math. Stud. 102 (1982), 209-227. MR 645740
- [Sh] Z. Shen, Finiteness and vanishing theorems for complete open Riemannian manifolds, preprint, 1989. MR 998628
- [SY] J. Sha and D. Yang, Examples of manifolds of positive Ricci curvature, J. Differential Geom. 29 (1989), 95-103. MR 978078
- [We] A. Weinstein, On the homotopy type of positively pinched manifolds, Arch. Math. (Basel) 18 (1967), 523-524. MR 220311
- [Ya] T. Yamaguchi, Homotopy finiteness theorems for certain precompact families of Riemannian manifolds, Proc. Amer. Math. Soc. 102 (1988), 660-666. MR 928999
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15950-6
PII:
S 0273-0979(1990)15950-6
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