Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Mobile Device Pairing
Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

Complete Kähler manifolds with zero Ricci curvature. I

Author(s): G. Tian; Shing-Tung Yau
Journal: J. Amer. Math. Soc. 3 (1990), 579-609.
MSC: Primary 53C55; Secondary 32C10, 53C25
MathSciNet review: 1040196
Retrieve article in: PDF
This article is available free of charge

References | Similar articles | Additional information

References:

[Bi]
R. L. Bishop and R. J. Crittenden, Geometry of manifolds, Pure and Appl. Math., vol. 15, Academic Press, New York and London, 1964. MR 0169148 (29:6401)

[BPV]
W. Barth, C. Peters, and A. van de Ven, Compact complex surfaces, Springer-Verlag, Berlin and Heidelberg, 1984. MR 749574 (86c:32026)

[CY]
S. Y. Cheng and S. T. Yau, Inequality between Chern numbers of singular Kähler surfaces and characterization of orbit space of discrete group of $             SU(2,1)$, Contemp. Math. 49 (1986), 31-43. MR 833802 (87m:53078)

[GT]
D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order, Springer, Berlin, Heidelberg, and New York, 1977. MR 0473443 (57:13109)

[GW]
R. E. Greene and H. Wu, Function theory on manifolds which possess a pole, Lecture Notes in Math., vol. 699, Springer-Verlag, 1979. MR 521983 (81a:53002)

[Ha]
R. Hartshorne, Ample vector bundles, Inst. Hautes Études Sci. Publ. Math. 29 (1966), 319-394. MR 0193092 (33:1313)

[Jo]
J. Jost, Harmonic mappings between Riemannian manifolds, Australian National Univ., vol. 4, 1983. MR 756629 (86b:58030)

[Mi]
J. W. Milnor, A note on curvature and fundamental group, J. Differential Geom. 2 (1968), 1-7. MR 0232311 (38:636)

[SY]
Y. T. Siu and S. T. Yau, Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay, Ann. of Math. (2) 105 (1977), 225-264. MR 0437797 (55:10719)

[TY]
G. Tian and S. T. Yau, Existence of Kähler-Einstein metrics on complete Kähler manifolds and their applications to algebraic geometry, Mathematical Aspects of String Theory (S. T. Yau, ed.), Proc. Conf. U.C.S.D., 1986, World Scientific, 1987. MR 915840

[Wu]
H. Wu, Manifolds of partially positive curvature, Indiana Univ. Math. J. 36 (1987), 525-548. MR 905609 (88k:53068)

[Y1]
S. T. Yau, Isoperimetric constants and the first eigenvalue of a compact Riemannian manifold, Ann. Sci. Ecole. Norm. Sup. (4) 8 (1975), 487-507. MR 0397619 (53:1478)

[Y2]
-, On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equations. I*, Comm. Pure Appl. Math. 31 (1978), 339-411. MR 480350 (81d:53045)

[Y3]
-, A general Schwartz lemma for Kähler manifolds, Amer. J. Math. 100 (1978), 197-203. MR 0486659 (58:6370)

Similar Articles:

Retrieve articles in Journal of the American Mathematical Society with MSC: 53C55, 32C10, 53C25

Retrieve articles in all Journals with MSC: 53C55, 32C10, 53C25


Additional Information:

DOI: 10.1090/S0894-0347-1990-1040196-6
PII: S0894-0347-1990-1040196-6
Copyright of article: Copyright 1990, American Mathematical Society




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia