Strong rigidity of irreducible quotients of polydiscs of finite volume

DOI10.1007/BF01462883zbMath0673.58017MaRDI QIDQ1120868

Ngaiming Mok

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164481

zbMATH Keywords

finite volumeirreducible quotient of polydiscs

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Harmonic maps, etc. (58E20) Complex Lie groups, group actions on complex spaces (32M05)

Related Items (6)

Factorization of semisimple discrete representations of Kähler groups ⋮ On rigid compact complex surfaces and manifolds ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ Topological methods in moduli theory ⋮ KÄHLER MANIFOLDS AND FUNDAMENTAL GROUPS OF NEGATIVELY δ-PINCHED MANIFOLDS ⋮ Kähler groups, real hyperbolic spaces and the Cremona group. With an appendix by Serge Cantat

Cites Work

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• Harmonic mappings and Kähler manifolds
• A strong rigidity theorem for a certain class of compact complex analytic surfaces
• Density properties for certain subgroups of semi-simple groups without compact components
• Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1
• The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
• The holomorphic or anti-holomorphic character of harmonic maps into irreducible compact quotients of polydiscs
• On the rigidity of certain discrete groups and algebraic varieties
• Strong rigidity of compact quotients of exceptional bounded symmetric domains
• On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes
• Compactification of arithmetic quotients of bounded symmetric domains
• Über die wesentlichen Singularitäten analytischer Mengen

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