On the higher order Kobayashi pseudometric

Abstract

We study the higher order Kobayashi pseudometric introduced by Yu. We first obtain estimates of this pseudometric in a special pseudoconvex domain in (Formula presented.). We then study the structure of the higher order extremal discs and their connection with the standard extremal discs for the Kobayashi metric. © 2023 Informa UK Limited, trading as Taylor & Francis Group.