Hyperbolic metrics on universal Teichmüller space and extremal problems

DOI10.1007/s10958-012-0729-zzbMath1264.30034OpenAlexW1999568466MaRDI QIDQ690519

Samuel L. Krushkal

Publication date: 28 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/124435

zbMATH Keywords

Teichmüller spaceCarathéodory metricKobayashi metricquasiconformal mappingextremal problemGrunsky inequalities

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items

Complex geodesics and variational calculus for univalent functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extremal problems for Fredholm eigenvalues
• Grunsky coefficient inequalities, Carathéodory metric and extremal quasiconformal mappings
• Extension of conformal mappings and hyperbolic metrics
• Wann sind die Grunskyschen Koeffizientenbedingungen hinreichend für Q- quasikonforme Fortsetzbarkeit ? (Under which conditions are the Grunsky coefficients Q-quasiconformal extendable ?)
• The strong form of Ahlfors' lemma
• Univalent functions. Selected topics
• On sections of some holomorphic families of closed Riemann surfaces
• On the existence of extremal Teichmueller mappings
• On the differential geometry of Teichmüller spaces
• Pull-back operators by quasisymmetric functions and invariant metrics on teichmüller spaces
• Holomorphic Motions and Teichmuller Spaces
• Verzerrungssätze und Koeffizientenbedingungen von GRUNSKYschen Typ für quasikonforme Abbildungen
• Plurisubharmonic features of the Teichmuller metric