Quasi-conformal mappings.

Hervé Pajot (1)

1 IF - Institut Fourier

In this chapter, we first give a brief overview of the classical theory of quasiconformal mappings in the complex plane and then we explain how to extend it in general metric spaces (under geometric assumptions). Applications to complex dynamics and to (complex) hyperbolic geometry are also discussed.

Domaines: Mathématiques [math]

Hervé Pajot. Quasi-conformal mappings. . Blanc-Centi, Léa. Metrical and dynamical aspects in complex analysis., 2195, Springer, pp.115-140, 2017, Lecture Notes in Mathematics, 978-3-319-65836-0. ⟨hal-01777761⟩