Harmonic mappings and Kähler manifolds

DOI10.1007/BF01455308zbMath0527.53041OpenAlexW1986180926WikidataQ125592431 ScholiaQ125592431MaRDI QIDQ595218

Shing Tung Yau, Juergen Jost

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163697

zbMATH Keywords

Chern classmoduli spacepolydisksKaehler manifoldsKaehler formKodaira surface

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex-analytic moduli problems (32G13) Harmonic maps, etc. (58E20) Holomorphic maps on manifolds (58C10)

Related Items (15)

The holomorphic or anti-holomorphic character of harmonic maps into irreducible compact quotients of polydiscs ⋮ Factorization of semisimple discrete representations of Kähler groups ⋮ Introduction to Nonabelian Hodge Theory ⋮ Strong rigidity of irreducible quotients of polydiscs of finite volume ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ A factorization theorem for harmonic maps ⋮ Topological methods in moduli theory ⋮ Harmonic mappings of Kähler manifolds to locally symmetric spaces ⋮ Foliated Plateau problem. II: Harmonic maps of foliations ⋮ Cohomologies of unipotent harmonic bundles over noncompact curves ⋮ A strong rigidity theorem for a certain class of compact complex analytic surfaces ⋮ Symplectic four-manifolds and projective surfaces ⋮ Double Kodaira fibrations with small signature ⋮ The real Schwarz Lemma and geometric applications ⋮ The strong rigidity of locally symmetric complex manifolds of rank one and finite volume

Cites Work

• On certain nonlinear elliptic differential equations and univalent mappings
• The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
• On univalent harmonic maps between surfaces
• On deformations of complex analytic structures. I
• On deformations of complex analytic structures. III: Stability theorems for complex structures
• A certain type of irregular algebraic surfaces
• An outline of the theory of pseudoanalytic functions
• Some properties and applications of harmonic mappings
• A Report on Harmonic Maps
• On Deformations of a Certain Type of Irregular Algebraic Surface
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• ON THE STRUCTURE OF COMPACT COMPLEX ANALYTIC SURFACES
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