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arXiv · 1904.06867

Boundary behaviour of some conformal invariants on planar domains

Amar Deep Sarkar·Kaushal Verma
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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.

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Amar Deep Sarkar, Kaushal Verma. 2019-04-15. Boundary behaviour of some conformal invariants on planar domains. https://arxiv.org/abs/1904.06867

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