The Kobayashi metric, extremal discs, and biholomorphic mappings
From MaRDI portal
Publication:5389561
DOI10.1080/17476933.2010.487215zbMath1246.32012arXiv0909.1041OpenAlexW1994893622MaRDI QIDQ5389561
Publication date: 21 April 2012
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.1041
Related Items
Boundary behavior of the Carathéodory and Kobayashi-Eisenman volume elements ⋮ Deformations of strongly pseudoconvex domains ⋮ Comparison of invariant functions and metrics ⋮ The Schwarz lemma at the boundary ⋮ Schwarz lemma and Kobayashi metrics for harmonic and holomorphic functions ⋮ The Carathéodory and Kobayashi/Royden metrics by way of dual extremal problems ⋮ Schwarz lemma and Kobayashi metrics for holomorphic functions
Cites Work
- Domains in \(\mathbb{C}^ n\) with a piecewise Levi flat boundary which possess a noncompact automorphism group
- Estimates of invariant metrics on pseudoconvex domains of dimension two
- Biholomorphic mappings and the \(\overline\partial\)-problem
- The boundary behavior of the Kobayashi metric
- On the mapping problem for algebraic real hypersurfaces
- Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
- Domains with non-compact automorphism group: a survey
- Convex domains of finite type
- Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
- Embedding Strictly Pseudoconvex Domains in Convex Domains
- Normal families of holomorphic mappings
