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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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Cited in 38 Reviews
Cited in 787 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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\textit{S.-T. Yau}, Commun. Pure Appl. Math. 31, 339--411 (1978; Zbl 0369.53059)
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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)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.