Title: On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation
Abstract: Communications on Pure and Applied MathematicsVolume 33, Issue 4 p. 507-544 Article On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation Shiu-Yuen Cheng, Shiu-Yuen Cheng Princeton UniversitySearch for more papers by this authorShing-Tung Yau, Shing-Tung Yau Stanford UniversitySearch for more papers by this author Shiu-Yuen Cheng, Shiu-Yuen Cheng Princeton UniversitySearch for more papers by this authorShing-Tung Yau, Shing-Tung Yau Stanford UniversitySearch for more papers by this author First published: July 1980 https://doi.org/10.1002/cpa.3160330404Citations: 233AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Bibliography 1 Beford, E., and Taylor, B. A., The Dirichlet problem for an equation of complex Monge Ampère type, in Proceedings of the Park City Conference on Geometry and P.D.E., to appear. 2 Cheng, S. Y., and Yau, S. T., Differential equations on Riemannian manifolds and their geometric applications, Comm. Pure Appl. Math. 28, 1975, pp. 333– 354. 3 Fefferman, C., Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains, Ann. of Math. 103, 1976, pp. 395– 416. 4 Klenbeck, P., Kähler metrics of negative curvature, the Bergman metric near the boundary, and the Kobayashi metric on smooth bounded strictly pseudoconvex sets, preprint. 5 Koeber, H., On the arithemetic and geometric means and on Hölder's inequality, Proc. Amer. Math. Soc. 9, 1958, pp. 452– 459. 6 Morrey, C. B., Multiple Integrals in the Calculus of Variations, Springer-Verlag, New York, 1966. 7 Yau, S. T., Harmonic functions on complete Riemannian manifolds, Comm. Pure Appl. Math. 28, 1975, pp. 201– 228. 8 Yau, S. T., A general Schwarz lemma for Kähler manifolds, Amer. J. Math. 100 (1), 1978, pp. 197– 203. 9 Yau, S. T., On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation I, Comm. Pure Appl. Math. 31, 1978, pp. 339– 411. Citing Literature Volume33, Issue4July 1980Pages 507-544 ReferencesRelatedInformation
Publication Year: 1980
Publication Date: 1980-07-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 482
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