The Kobayashi-Royden metric on punctured spheres

DOI10.1515/forum-2019-0297zbMath1442.32020arXiv1907.07295OpenAlexW3011151627MaRDI QIDQ776159

Junqing Qian, Gunhee Cho

Publication date: 30 June 2020

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07295

zbMATH Keywords

Kähler-Einstein metricpunctured sphereKobayashi-Royden metricquantitative little Picard theoremquasi-projective variety

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Invariant metrics and pseudodistances in several complex variables (32F45) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Asymptotic representations in the complex plane (30E15) Complex spaces (32C15)

Related Items

Hyperbolic metric, punctured Riemann sphere, and modular functions

Cites Work

• Unnamed Item
• Unnamed Item
• The geometry of complex domains
• Algebraic approximations of holomorphic maps from Stein domains to projective manifolds
• Exponential polynomials
• Comparison of invariant metrics
• Complex-analytic properties of certain Zariski open sets on algebraic varieties
• A defect relation for equidimensional holomorphic mappings between algebraic varieties
• Invariant metrics on the complex ellipsoid
• Modular Subgroups, Forms, Curves and Surfaces
• Invariant metrics on negatively pinched complete Kähler manifolds
• Invariant distances and metrics in complex analysis