Strongly pseudoconvex homogeneous domains in almost complex manifolds

DOI10.1515/CRELLE.2008.074zbMath1160.32024MaRDI QIDQ3542074

Kang-Hyurk Lee

Publication date: 27 November 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

homogeneous spacesalmost complex manifoldsstrongly pseudoconvex domains

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Almost complex manifolds (32Q60) Strongly pseudoconvex domains (32T15)

Related Items

Characterizations of Strongly Pseudoconvex Models in Almost Complex and CR Geometries, Integrable submanifolds in almost complex manifolds, Poincaré-Alexander theorem for model domains, On the upper-semicontinuity of automorphism groups of model domains in almost complex manifolds, Rudin's theorem for model domains, Almost CR manifolds with contracting CR automorphism, On the differential geometric characterization of the Lee models, Subconformal Yamabe equation and automorphism groups of almost CR manifolds, Complete prolongation for infinitesimal automorphisms on almost complex manifolds, Compactness theorems for sequences of pseudo-holomorphic coverings between domains in almost complex manifolds, On the automorphism group of strongly pseudoconvex domains in almost complex manifolds, Homogeneous almost complex manifolds and their compact quotients

Cites Work

• Complex analytic coordinates in almost complex manifolds
• Domains in \(\mathbb{C}^ n\) with a piecewise Levi flat boundary which possess a noncompact automorphism group
• Domains in almost complex manifolds with an automorphism orbit accumulating at a strongly pseudoconvex boundary point
• Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
• The index of a vector field tangent to an odd-dimensional hypersurface and the signature of the relative Hessian
• On the geometry of model almost complex manifolds with boundary