The holomorphic or anti-holomorphic character of harmonic maps into irreducible compact quotients of polydiscs

DOI10.1007/BF01450565zbMath0604.58021MaRDI QIDQ1083090

Ngaiming Mok

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/164007

zbMATH Keywords

rigidityharmonic mapKählerian manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Discrete subgroups of Lie groups (22E40) Harmonic maps, etc. (58E20)

Related Items (10)

Factorization of semisimple discrete representations of Kähler groups ⋮ Hermitian metrics of negative holomorphic sectional curvature on some hyperbolic manifolds ⋮ Foliations associated to harmonic maps on some complex two ball quotients ⋮ Strong rigidity of irreducible quotients of polydiscs of finite volume ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ Topological methods in moduli theory ⋮ Harmonic mappings of Kähler manifolds to locally symmetric spaces ⋮ KÄHLER MANIFOLDS AND FUNDAMENTAL GROUPS OF NEGATIVELY δ-PINCHED MANIFOLDS ⋮ A boundary value problem for Hermitian harmonic maps and applications ⋮ The strong rigidity of locally symmetric complex manifolds of rank one and finite volume

Cites Work

• Unnamed Item
• Harmonic mappings and Kähler manifolds
• Density properties for certain subgroups of semi-simple groups without compact components
• On the locally complete families of complex analytic structures
• The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
• Strong rigidity of compact quotients of exceptional bounded symmetric domains
• Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
• On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• Some properties and applications of harmonic mappings
• On Homotopic Harmonic Maps
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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