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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 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 and divergence-free vector fields on the hyperbolic plane . We show tha…