Extremal problems in classes of quasiconformal embeddings of Riemann surfaces

zbMath1063.30016MaRDI QIDQ1876427

A. A. Golubev, Sergey Yu. Graf

Publication date: 7 September 2004

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

quadratic differentialRiemannian surfaceboundary variation of Riemann surfacesinner variation of Riemann surfacesquasiconformal embedding of Riemann surfaces

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Quasiconformal mappings in the complex plane (30C62) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Differentials on Riemann surfaces (30F30)

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The holomorphic couch theorem ⋮ Complex geodesics and variational calculus for univalent functions

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