Harmonic extension of Weil-Petersson circle homeomorphisms

Farid Diaf, Vladimir Marković, Abderrahim Mesbah

In this paper, we study Weil--Petersson circle homeomorphisms from the viewpoint of harmonic maps. We prove that a homeomorphism $\ddot{I}†:{\mathbb{S}}^1\to {\mathbb{S}}^1$ is Weil--Petersson i…