On the higher order Kobayashi pseudometric
Complex Variables
2022-10-25 v1
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.
Cite
@article{arxiv.2210.13237,
title = {On the higher order Kobayashi pseudometric},
author = {Seok Ban and Florian Bertrand and Amir Jaber Chehayeb and Adam Salha and Walid Tabbara},
journal= {arXiv preprint arXiv:2210.13237},
year = {2022}
}
Comments
This work was done in the framework of the Summer Research Camp in Mathematics designed by the Department of Mathematics at the American University of Beirut (AUB) and that benefitted from a generous support from the Center for Advanced Mathematical Sciences at AUB. Comments are most welcome