Unique determination of conformal type for domains. II

DOI10.33048/semi.2019.16.082zbMath1429.52003OpenAlexW4241072998MaRDI QIDQ2331130

Anatoliĭ Pavlovich Kopylov

Publication date: 25 October 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.082

zbMATH Keywords

conformal mappingquasiconformal mappingisometric mappingunique determinationboundary condenser\(p\)-modulus of family of paths

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Cites Work

• Unique determination of convex polyhedral domains in three-dimensional Euclidean space by relative conformal moduli of boundary condensers
• Unique determination of conformal type for domains
• The coefficients of quasiconformality of domains in space
• Unique determination of convex polyhedral domains by relative conformal moduli of boundary condensers
• On unique determination of domains in Euclidean spaces
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