2 papers
math.DG2024
Every closed surface of genus at least 18 is Loewner
Qiongling Li, Weixu Su
In this paper, we obtain an improved upper bound involving the systole and area for the volume entropy of a Riemannian surface. As a result, we show that every orientable and close…
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…