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Yau, Shing-Tung

On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I. (English) Zbl 0369.53059

Commun. Pure Appl. Math. 31, 339-411 (1978).
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scan of Zbl 0369.53059

Cited in 42 Reviews
Cited in 957 Documents

MathOverflow Questions:

A problem of the volume form of Kähler manifold in the paper of Yau’s proof of Calabi conjecture

MSC:

53C55 Global differential geometry of Hermitian and Kählerian manifolds
35Q99 Partial differential equations of mathematical physics and other areas of application

Citations:

Zbl 0362.53049
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Full Text: DOI

References:

[1] Aubin, J. Diff. Geom. 4 pp 383– (1970)
[2] Aubin, C.R. Acad. Sc. Paris 283 pp 119– (1976)
[3] Calabi, Proc. Internat. Congress Math. Amsterdam 2 pp 206– (1954)
[4] On Kähler manifolds with vanishing canonical class, Algebraic Geometry and Topology, A symposium in honor of S. Lefschatz, Princeton Univ. Press, Princeton, 1955, pp. 78–89.
[5] Calabi, Mich. Math. J. 5 pp 105– (1958)
[6] Chern, Ann. of Math. 47 pp 85– (1946)
[7] Complex Manifold Without Potential Theory, Princeton, N.J., van Nostrand, 1967.
[8] Cheng, Comm. Pure Appl. Math. 30 pp 41– (1977)
[9] Cheng, Comm. Pure Appl. Math. 29 pp 495– (1976)
[10] Variétés Differentiabes; Formes, Courants, Formes Harmoniques, Paris, Hermann, 1960.
[11] Geometric Measure Theory, Springer-Verlag, 1969. · Zbl 0176.00801
[12] Moser, Comm. Pure Appl. Math. 13 pp 457– (1963)
[13] Multiple Integrals in the Calculus of Variation, Springer-Verlag, 1966.
[14] Nonlinear Functional Analysis, N.Y., Gordon and Breach, 1968.
[15] Yau, Nat. Acad. Sci. U.S.A. 74 pp 1798– (1977)
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