A lower bound on the Kobayashi metric near a point of finite type in \(\mathbb{C} ^ n\)

DOI10.1007/BF02934584zbMath0756.32015OpenAlexW2028517806MaRDI QIDQ1813020

Sang-Hyun Cho

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02934584

zbMATH Keywords

Hölder continuitylower boundplurisubharmonic functionsKobayashi metricproper holomorphic mapsbumping family of pseudoconvex domainsfinite 1-type

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Proper holomorphic mappings, finiteness theorems (32H35) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)

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Cites Work

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• Real hypersurfaces, orders of contact, and applications
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• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Proper holomorphic maps onto pseudoconvex domains with real-analytic boundary
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• Proper holomorphic mappings
• Boundary regularity of proper holomorphic mappings
• Boundary regularity of proper holomorphic mappings