Semisimplicity of the group of biholomorphisms of the universal covering of a compact complex manifold with ample canonical bundle

DOI10.2307/1971521zbMath0716.32021OpenAlexW2313506821MaRDI QIDQ752913

Alan Michael Nadel

Publication date: 1990

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971521

zbMATH Keywords

Kähler-Einstein metricsemisimple Lie groupuniversal coveringbiholomorphismcanonical bundleample bundle

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Semisimple Lie groups and their representations (22E46) Complex Lie groups, group actions on complex spaces (32M05)

Related Items (5)

Galois action on universal covers of Kodaira fibrations ⋮ A characterization of the unit ball by a Kähler-Einstein potential ⋮ Structure of the Kähler foliations in semi-negative curvature ⋮ Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets ⋮ Smoothly bounded domains covering compact manifolds

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