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math.DG2022
Bounded differentials on unit disk and the associated geometry
Song Dai, Qiongling Li
For a harmonic diffeomorphism between the Poincaré disks, Wan showed the equivalence between the boundedness of the Hopf differential and the quasi-conformality. In this paper, we…
math.GT2022
A Remark on the Rigidity of Delaunay Triangulated Plane
Song Dai
In \cite{Wu22}, under the uniformly acute condition, Wu showed the rigidity of the geodesic triangulated plane under Luo's discrete conformality. In this article, by modifying Wu's…