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Complete noncompact Kähler manifolds with positive holomorphic bisectional curvature
Author(s):
Wan-Xiong
Shi
Journal:
Bull. Amer. Math. Soc.
23
(1990),
437-440.
MSC (1985):
Primary 53C55, 58G11
MathSciNet review:
1044171
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References:
- 1.
- R. S. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geom. 17 (1982), 255-306. MR 664497
- 2.
- R. S. Hamilton, Four-manifolds with positive curvature operator, J. Differential Geom. 24(1986), 153-179. MR 862046
- 3.
- G. Huisken, Ricci deformation of the metric on a Riemannian manifold, J. Differential Geom. 21 (1985), 47-62. MR 806701
- 4.
- N. Mok, Y. T. Siu, and S. T. Yau, The Poincaré-Lelong equation on complete Kähler manifolds, Compositio Math. 44 (1981), 183-218. MR 662462
- 5.
- N. Mok, An embedding theorem of complete Kähler manifolds of positive bisectional curvature onto affine algebraic varieties, Bull. Soc. Math. France 112 (1984), 197-258. MR 788968
- 6.
- W. X. Shi, Complete noncompact three-manifolds with nonnegative Ricci curvature, J. Differential Geom. 29 (1989), 353-360. MR 982179
- 7.
- W. X. Shi, Deforming the metric on complete Riemannian manifolds, J. Differential Geom. 30 (1989), 223-301. MR 1001277
- 8.
- W. X. Shi, Ricci deformation of the metric on complete noncompact Riemannian manifolds, J. Differential Geom. 30 (1989), 303-394. MR 1010165
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15954-3
PII:
S 0273-0979(1990)15954-3
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