Gromov hyperbolicity, the Kobayashi metric, and $\mathbb {C}$-convex sets

DOI10.1090/tran/6909zbMath1381.32005arXiv1602.01444OpenAlexW2963597814MaRDI QIDQ5367088

Andrew M. Zimmer

Publication date: 12 October 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01444

zbMATH Keywords

Kobayashi distanceGromov hyperbolicity\(\mathbb C\)-convex seet

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Other notions of convexity in relation to several complex variables (32F17)

Related Items (15)

Gromov hyperbolicity of pseudoconvex finite type domains in \(\mathbb{C}^2\) ⋮ Subelliptic estimates from Gromov hyperbolicity ⋮ Visibility of Kobayashi geodesics in convex domains and related properties ⋮ On the Gromov hyperbolicity of convex domains in \(\mathbb{C}^n\) ⋮ Abstract boundaries and continuous extension of biholomorphisms ⋮ Behavior of the squeezing function near h-extendible boundary points ⋮ Weakly 1‐completeness of holomorphic fiber bundles over compact Kähler manifolds ⋮ Unbounded visibility domains, the end compactification, and applications ⋮ Metric geometry of the Kobayashi metric ⋮ Local and global visibility and Gromov hyperbolicity of domains with respect to the Kobayashi distance ⋮ The horofunction boundary of a Gromov hyperbolic space ⋮ Homeomorphic extension of quasi-isometries for convex domains in \(\mathbb{C}^d\) and iteration theory ⋮ Kobayashi hyperbolic convex domains not biholomorphic to bounded convex domains ⋮ Squeezing functions and Cantor sets ⋮ The automorphism group and limit set of a bounded domain II: the convex case

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