Holomorphic Motions and Related Topics

zbMath1198.30019arXiv0802.2111MaRDI QIDQ3567908

Yunping Jiang, Frederick P. Gardiner, Zhe Wang

Publication date: 17 June 2010

Full work available at URL: https://arxiv.org/abs/0802.2111

zbMATH Keywords

Kobayashi metricTeichmüller metric\(\lambda\)-lemmaholomorphic motionsSlodkowski's theorem

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62)

Related Items (17)

Stream lines, quasilines and holomorphic motions ⋮ Invariant elliptic curves as attractors in the projective plane ⋮ Moduli space of cubic Newton maps ⋮ Families of Riemann surfaces, uniformization and arithmeticity ⋮ Slices of parameter space for meromorphic maps with two asymptotic values ⋮ La mesure harmonique de l'ensemble de Mandelbrot contient celles des ensembles de Julia ⋮ Harnack inequalities, Kobayashi distances and holomorphic motions ⋮ Winding numbers and full extendibility in holomorphic motions ⋮ Kobayashi's and Teichmüller's metrics and Bers complex manifold structure on circle diffeomorphisms ⋮ Cycle doubling, merging, and renormalization in the tangent family ⋮ Monodromy, liftings of holomorphic maps, and extensions of holomorphic motions ⋮ Dynamics, topology and bifurcations of McMullen maps ⋮ Extension of isotopies in the plane ⋮ Canonical Thurston obstructions for sub-hyperbolic semi-rational branched coverings ⋮ Holomorphic motions and quasicircles ⋮ Holomorphic motions, Fatou linearization, and quasiconformal rigidity for parabolic germs ⋮ Teichmüller space of a countable set of points on the Riemann sphere

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