Strong rigidity of compact quotients of exceptional bounded symmetric domains

DOI10.1215/S0012-7094-81-04847-XzbMath0496.32020MaRDI QIDQ1170412

Yum-Tong Siu

Publication date: 1981

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

homotopy typecompact quotientclassical bounded symmetric domainexceptional bounded symmetric domainsholomorphic characterization of compact Kaehler manifold

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Compact analytic spaces (32J99) Homogeneous complex manifolds (32M10)

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The holomorphic or anti-holomorphic character of harmonic maps into irreducible compact quotients of polydiscs ⋮ Factorization of semisimple discrete representations of Kähler groups ⋮ Totally geodesic discs in bounded symmetric domains ⋮ Strong rigidity of irreducible quotients of polydiscs of finite volume ⋮ Rigidity of CR maps between Shilov boundaries of bounded symmetric domains ⋮ Positive vector bundles and harmonic maps ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ Topological methods in moduli theory ⋮ Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds ⋮ Regularity of mappings into classical domains ⋮ Harmonic mappings of Kähler manifolds to locally symmetric spaces ⋮ On holomorphic isometric immersions of nonhomogeneous Kähler-Einstein manifolds into the infinite dimensional complex projective space ⋮ Remarks on the canonical metrics on the Cartan-Hartogs domains ⋮ Rigidity of proper holomorphic mappings between equidimensional bounded symmetric domains ⋮ Rigidity of harmonic maps of maximum rank ⋮ A strong rigidity theorem for a certain class of compact complex analytic surfaces ⋮ Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets ⋮ Mostow strong rigidity of locally symmetric spaces revisited ⋮ Rigidity of proper holomorphic maps between bounded symmetric domains

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