Semicontinuity of isometry groups and isomorphism groups: a survey

DOI10.1007/s40306-019-00340-7zbMath1436.32081OpenAlexW2956161882WikidataQ124829233 ScholiaQ124829233MaRDI QIDQ1987353

Kang-Tae Kim, Robert E. Greene

Publication date: 14 April 2020

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-019-00340-7

zbMATH Keywords

automorphism groupisometry groupsemicontinuitybiholomorphism

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Complex Lie groups, group actions on complex spaces (32M05) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17)

Cites Work

• The geometry of complex domains
• The automorphism groups of strongly pseudoconvex domains
• Real hypersurfaces, orders of contact, and applications
• Boundary behavior of the Bergman curvature in strictly pseudoconvex polyhedral domains
• Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
• Stably-interior points and the semicontinuity of the automorphism group
• How to conjugate C\(^1\)-close group actions
• Groups of differentiable and real or complex analytic transformations
• On the space of Riemannian metrics
• A theorem of Lie groups
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