Yu-Liang Shen

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20132019

most citedWeil-Petersson Teichmüller space III: dependence of Riemann mappings for Weil-Petersson curves

2 citations · 3 across the 3 of their papers we have counts for

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math.CV2019★ 2 cited

Weil-Petersson Teichmüller space III: dependence of Riemann mappings for Weil-Petersson curves

Yuliang Shen, Li Wu

The primary purpose of the paper is to study how a Riemann mapping depends on the corresponding Jordan curve. We are mainly concerned with those Jordan curves in the Weil-Petersson…

math.CV2018★ 1 cited

Weil-Petersson Teichmüller space II: smoothness of flow curves of $H^{\frac{3}{2}}$ -vector fields

Yuliang Shen, Shuan Tang

Given a continuous vector field $λ (t, \cdot)$ of Sobolev class $H^{\frac{3}{2}}$ on the unit circle $S^{1}$ , the flow maps $η = g (t, \cdot)$ of the differential equation $$ \cases \frac{d…

math.CV2013

On angles in Teichmüller spaces

Yun Hu, Yuliang Shen

We discuss the existence of the angle between two curves in Teichmüller spaces and show that, in any infinite dimensional Teichmüller space, there exist infinitely many geodesic tr…

Weil-Petersson Teichmüller space III: dependence of Riemann mappings for Weil-Petersson curves

Weil-Petersson Teichmüller space II: smoothness of flow curves of H23​-vector fields

On angles in Teichmüller spaces

Weil-Petersson Teichmüller space II: smoothness of flow curves of $H^{\frac{3}{2}}$ -vector fields