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Finiteness and vanishing theorems for complete open Riemannian manifolds
Author(s):
Zhongmin
Shen
Journal:
Bull. Amer. Math. Soc.
21
(1989),
241-244.
MSC (1985):
Primary 53C20
MathSciNet review:
998628
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References:
- [AG] U. Abresch and D. Gromoll, On complete manifolds with nonnegative Ricci curvature, Preprint. MR 1030656
- [CG] J. Cheeger and D. Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. of Math. (2) 96 (1974), 413-443. MR 309010
- [GM] D. Gromoll and W. T. Meyer, Examples of complete manifolds with positive Ricci curvature, J. Differential Geom. 21 (1985), 195-211. MR 816669
- [GW] R. Greene and H. Wu, Integrals of subharmonic functions on manifolds ofnonneg-ative curvature, Invent. Math. 27 (1974), 265-298. MR 382723
- [H] P. Hartman, Oscillation criteria for self-adjoint second-order differential systems and "principal sectional curvature", J. Differential Equations 34 (1979), 326-338. MR 550049
- [M] J. Milnor, Morse theory, Princeton Univ. Press, Princeton, N.J., 1975. MR 418127
- [SY1] J. Sha and D. Yang, Examples of manifolds of positive Ricci curvature, J. Differential Geom. (to appear).
- [SY2] J. Sha and D. Yang, Positive Ricci curvature on the connected sums of S, Preprint.
- [Wl] H. Wu, An elementary method in the study of nonnegative curvature, Acta Math. 142 (1979), 57-78. MR 512212
- [W2] H. Wu, Manifolds of partially positive curvature, Indiana Univ. Math. J. 36 (1987), 525-548. MR 905609
- [We] G. Wei, Examples of complete manifolds of positive Ricci curvature with nilpotentisometry groups, Bull. Amer. Math. Soc. (N.S.) 19 (1988), 311-313. MR 940494
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15817-5
PII:
S 0273-0979(1989)15817-5
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