On the rigidity of noncompact quotients of bounded symmetric domains

DOI10.2977/prims/1195176036zbMath0651.32023OpenAlexW1966642660MaRDI QIDQ1106372

Takeo Ohsawa

Publication date: 1987

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195176036

zbMATH Keywords

bounded symmetric domainsgeneralized automorphic functions

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Automorphic functions in symmetric domains (32N15)

Cites Work

• On the extension of \(L^ 2\) holomorphic functions
• On complex analytic vector bundles
• On compact, locally symmetric Kähler manifolds
• On the curvature tensor of the hermitian symmetric manifolds
• The strong rigidity of locally symmetric complex manifolds of rank one and finite volume
• Sur les domaines bornes homogenes de l'espace de \(n\) variables. complexes
• On deformations of complex analytic structures. II
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• Compactification of arithmetic quotients of bounded symmetric domains
• A special Stoke's theorem for complete Riemannian manifolds
• On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)
• Les espaces symétriques noncompacts
• Théorèmes de finitude pour la cohomologie des espaces complexes
• A New Viewpoint in Differential Geometry
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