On the higher order Kobayashi pseudometric
Seok Ban, Florian Bertrand, Amir Jaber Chehayeb, Adam Salha, Walid, Tabbara
TL;DR
This paper investigates the higher order Kobayashi pseudometric, providing estimates in specific pseudoconvex domains and exploring the structure of extremal discs and their relation to the standard Kobayashi metric.
Contribution
It offers new estimates for the higher order Kobayashi pseudometric and analyzes the structure of extremal discs, connecting them to classical Kobayashi extremals.
Findings
Derived estimates of the pseudometric in pseudoconvex domains
Analyzed the structure of higher order extremal discs
Established connections with standard extremal discs
Abstract
We study the higher order Kobayashi pseudometric introduced by Yu. We first obtain estimates of this pseudometric in a special pseudoconvex domain in . 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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Taxonomy
TopicsHolomorphic and Operator Theory · Geometry and complex manifolds · Meromorphic and Entire Functions