Farid Diaf

activity

20232026

collaborators

3 papers

math.DG2026

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 $φ : S^{1} \to S^{1}$ is Weil--Petersson if…

math.DG2024

Mean surfaces in Half-Pipe space and infinitesimal Teichmüller theory

Farid Diaf

We study a correspondence between smooth spacelike surfaces in Half-Pipe space $HP^{3}$ and divergence-free vector fields on the hyperbolic plane $H^{2}$ . We show tha…

math.GT2023

The infinitesimal earthquake theorem for vector fields on the circle

Farid Diaf

We prove that any continuous vector field on a circle is the extension in a suitable sense, of a unique infinitesimal earthquake of the hyperbolic plane. Furthermore, we obtain oth…