The space of convex domains in complex Euclidean space

DOI10.1007/S12220-019-00346-5zbMath1436.32046OpenAlexW3000426631WikidataQ126324786 ScholiaQ126324786MaRDI QIDQ1985312

Hervé Gaussier, Andrew M. Zimmer

Publication date: 7 April 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-019-00346-5

zbMATH Keywords

convex domainsinvariant metrics and pseudodistances

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Other notions of convexity in relation to several complex variables (32F17)

Related Items (2)

Subelliptic estimates from Gromov hyperbolicity ⋮ Kobayashi hyperbolic convex domains not biholomorphic to bounded convex domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the uniform squeezing property of bounded convex domains in \(\mathbb{C}^n\)
• Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type
• Exposing points on the boundary of a strictly pseudoconvex or a locally convexifiable domain of finite 1-type
• The geometry of complex domains
• Canonical metrics on the moduli space of Riemann surfaces. II
• Complex geometry of convex domains that cover varieties
• Geometry of domains with the uniform squeezing property
• On equality of line type and variety type of real hypersurfaces in \(\mathbb{C}^ n\)
• On Kähler manifolds with negative holomorphic bisectional curvature
• Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
• Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d'automorphismes
• Compactness of the \(\overline{\partial}\)-Neumann problem on convex domains
• Domains with non-compact automorphism group: a survey
• Estimates on the Bergman kernels of convex domains
• Boundary behavior of the Bergman curvature in strictly pseudoconvex polyhedral domains
• Characterization of convex domains with noncompact automorphism group
• Estimate of the squeezing function for a class of bounded domains
• Convex domains of finite type
• Holomorphic retracts and intrinsic metrics in convex domains
• Metrical and dynamical aspects in complex analysis
• Canonical metrics on the moduli space of Riemann surfaces. I
• Properties of squeezing functions and global transformations of bounded domains
• Hyperbolicity in unbounded convex domains
• Convex Domains and Kobayashi Hyperbolicity
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• Boundary behavior of the squeezing functions of ℂ-convex domains and plane domains
• Invariant distances and metrics in complex analysis

This page was built for publication: The space of convex domains in complex Euclidean space