Teichmüller spaces of generalized symmetric homeomorphisms

2019/08/19 by Huaying Wei, Katsuhiko Matsuzaki, Wei, Huaying +1
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Functional Equations Stability Results #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1908.06618

openalex publication_date 2019/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the concept of a new kind of symmetric homeomorphisms on the unit circle, which is derived from the generalization of symmetric homeomorphisms on the real line. By the investigation of the barycentric extension for this class of circle homeomorphisms and the biholomorphic automorphisms induced by trivial Beltrami coefficients, we endow a complex Banach manifold structure on the space of those generalized symmetric homeomorphisms.

Citations

• The boundary correspondence under quasiconformal mappings

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