The uniformization problem for complex manifolds

DOI10.2977/prims/1195196621zbMath0404.32005OpenAlexW2020165657MaRDI QIDQ1256596

Yum-Tong Siu

Publication date: 1977

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195196621

zbMATH Keywords

Uniformization Problem for Complex Manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact Riemann surfaces and uniformization (30F10) Complex manifolds (32Q99)

Cites Work

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• Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• On some new birational invariants of algebraic varieties, and their application to rationality of certain algebraic varieties of dimension 3
• On Harnack's theorem for elliptic differential equations
• On the structure of complete simply-connected Kähler manifolds with nonpositive curvature
• Curvature and complex analysis