Rigidity of dilatations of holomorphic motions
DOI10.1080/17476930902998977zbMath1190.30017OpenAlexW2054737048MaRDI QIDQ3406611
Publication date: 19 February 2010
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476930902998977
Carathéodory metricKobayashi metricholomorphic motionGrunsky normTeichmüller normdilatation functionuniversal Teich-müller space
Invariant metrics and pseudodistances in several complex variables (32F45) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Teichmüller theory for Riemann surfaces (30F60) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55)
Cites Work
- Grunsky coefficient inequalities, Carathéodory metric and extremal quasiconformal mappings
- The Ahlfors-Schwarz lemma: The case of equality
- Wann sind die Grunskyschen Koeffizientenbedingungen hinreichend für Q- quasikonforme Fortsetzbarkeit ? (Under which conditions are the Grunsky coefficients Q-quasiconformal extendable ?)
- A quasiconformal dynamic property of the disk
- Strengthened Moser's conjecture, geometry of Grunsky coefficients and Fredholm eigenvalues
- Pull-back operators by quasisymmetric functions and invariant metrics on teichmüller spaces
- Holomorphic Motions and Teichmuller Spaces
- Plurisubharmonic features of the Teichmuller metric
- The Schwarzian derivative and schlicht functions
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