Intrinsic metrics in polygonal domains

DOI10.1002/mana.202200242arXiv2206.03744MaRDI QIDQ6144854

Matti Vuorinen, Rahim Kargar, Samyon R. Nasyrov, Dina Dautova

Publication date: 8 January 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.03744

zbMATH Keywords

convex domainhyperbolic metricconformal radiusdistance to the boundaryintrinsic metrictriangular ratio metric

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Inequalities and extremum problems in real or complex geometry (51M16) Elementary problems in hyperbolic and elliptic geometries (51M09)

Cites Work

• Starlike functions associated with the generalized Koebe function
• On Bloch seminorm of finite Blaschke products in the unit disk
• Metrics and quasimetrics induced by point pair function
• Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $
• Intrinsic metrics under conformal and quasiregular mappings
• Conformally Invariant Metrics and Quasiconformal Mappings
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Metric spaces, convexity and nonpositive curvature
• Minimization of the conformal radius under circular cutting of a domain
• Triangular ratio metric under quasiconformal mappings in sector domains
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