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arxiv: 1904.06867 · v1 · pith:7EYSDPKNnew · submitted 2019-04-15 · 🧮 math.CV

Boundary behaviour of some conformal invariants on planar domains

classification 🧮 math.CV
keywords conformalbehaviourboundarydomainsinvariantsodoryplanarsome
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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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