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.
|Publication status||Published - 2019 Aug 19|
- Asymptotic Teichmüller space
- Bedding, barycentric extension
- Bers em-
- Symmetric homeomorphism
ASJC Scopus subject areas