Yingjie Meng

collaborators

2 papers

math.GT2025

Existence of Branched covers $S^{2} \to S^{2}$ with prescribed branching data

Yingjie Meng, Zhiqiang Wei, Chuankai Zhou

Building on techniques from complex analysis and topology, we establish a remarkable property of branched covers and formulate a complete criterion for the existence of specific ty…

math.DG2024

Classification of non-CSC extremal KÃ¤hler metrics on K-surfaces $S_{{I^\pm}}^{2}$ and $S_{{I^\pm, I^^{2}}}^{2}$

Yingjie Meng, Zhiqiang Wei

We commonly refer to an extremal KÃ¤hler metric with finitely many singularities on a compact Riemann surface as an HCMU (Hessian of the Curvature of the Metric is Umbilical) metri…

Existence of Branched covers S2→S2 with prescribed branching data

Classification of non-CSC extremal KÃ¤hler metrics on K-surfaces S{I^±}2​ and S{I^±,I^2}2​

Existence of Branched covers $S^{2} \to S^{2}$ with prescribed branching data

Classification of non-CSC extremal KÃ¤hler metrics on K-surfaces $S_{{I^\pm}}^{2}$ and $S_{{I^\pm, I^^{2}}}^{2}$