On the Gromov hyperbolicity of the Kobayashi metric on strictly pseudoconvex regions in the almost complex case

DOI10.1007/s00209-008-0428-0zbMath1195.32016arXiv0803.1541OpenAlexW2139307515MaRDI QIDQ1031844

Léa Blanc-Centi

Publication date: 23 October 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1541

zbMATH Keywords

pseudo-holomorphic mapGromov hyperbolicityKobayshi metric

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Geodesics in global differential geometry (53C22) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Almost complex manifolds (32Q60) Strongly pseudoconvex domains (32T15)

Related Items (3)

Metric geometry of the Kobayashi metric ⋮ Gromov hyperbolicity of strongly pseudoconvex almost complex manifolds ⋮ Gromov hyperbolicity of the Hilbert distance

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the dynamics of isometries
• Sharp estimates of the Kobayashi metric and Gromov hyperbolicity
• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Pseudoholomorphic mappings and Kobayashi hyperbolicity
• Embeddings of Gromov hyperbolic spaces
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
• Fefferman's mapping theorem on almost complex manifolds in complex dimension two
• Existence of close pseudoholomorphic disks for almost complex manifolds and their application to the Kobayashi-Royden pseudonorm
• Boundaries of hyperbolic metric spaces
• Proper pseudoholomorphic maps between strictly pseudoconvex regions
• Invariant distances on complex manifolds and holomorphic mappings
• Some integration problems in almost-complex and complex manifolds
• Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
• Estimates of the Kobayashi-Royden metric in almost complex manifolds

This page was built for publication: On the Gromov hyperbolicity of the Kobayashi metric on strictly pseudoconvex regions in the almost complex case