On the higher order Kobayashi pseudometric

2022/10/24 by Seok Ban, Florian Bertrand, Ban, Seok +7
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2210.13237

openalex publication_date 2022/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the higher order Kobayashi pseudometric introduced by Yu. We first obtain estimates of this pseudometric in a special pseudoconvex domain in \C³. We then study the structure of the higher order extremal discs and their connection with the standard extremal discs for the Kobayashi metric.

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