COMPLEX SCALING AND GEOMETRIC ANALYSIS OF SEVERAL VARIABLES

DOI10.4134/BKMS.2008.45.3.523zbMath1156.32001arXivmath/0610710OpenAlexW2962940804WikidataQ56852348 ScholiaQ56852348MaRDI QIDQ3530304

Steven G. Krantz, Kang-Tae Kim

Publication date: 20 October 2008

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610710

zbMATH Keywords

automorphism grouppseudoconvexityorbitscalingfinite typeisotropy groupdomain

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) Finite-type domains (32T25) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Holomorphically convex complex spaces, reduction theory (32E05) The Levi problem (32E40) Domains of holomorphy (32T05)

Related Items (9)

Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type ⋮ Integrable submanifolds in almost complex manifolds ⋮ A method of potential scaling in the study of pseudoconvex domains with noncompact automorphism group ⋮ Domains with a contracting automorphism at a boundary point ⋮ Rigidity of convex divisible domains in flag manifolds ⋮ Complete prolongation for infinitesimal automorphisms on almost complex manifolds ⋮ Automorphism group actions in complex analysis ⋮ Complex geometry of Teichmüller domains ⋮ Characterization of pseudoconvex domains of finite type with locally diagonalizable Levi form by their automorphism groups

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