Boundary behaviour of some conformal invariants on planar domains
Complex Variables
2019-04-16 v1
Abstract
The purpose of this note is to use the scaling principle to study the boundary behaviour of some conformal invariants on planar domains. The focus is on the Aumann--Carath\'{e}odory rigidity constant, the higher order curvatures of the Carath\'{e}odory metric and two conformal metrics that have been recently defined.
Keywords
Cite
@article{arxiv.1904.06867,
title = {Boundary behaviour of some conformal invariants on planar domains},
author = {Amar Deep Sarkar and Kaushal Verma},
journal= {arXiv preprint arXiv:1904.06867},
year = {2019}
}