Yingyi Wu

collaborators

4 papers

math.DG2026

Homogeneous $Z /2$ -Harmonic Forms and Spinors on $R^{4}$ from Regular 4-Polytopes

Clifford Taubes, Yingying Wu

We describe novel local singularity models for $Z /2$ harmonic 1-forms, self-dual 2-forms and spinors in dimension 4. These models are homogeneous versions on $R^{4}$ …

math.DG2026

A Proof of the Eigenvalue Ratio Bound for Embedded Surfaces

Ricardo Gloria-Picazzo, Yingying Wu, Shing-Tung Yau

We explain how the spectrum of a closed embedded surface $I^£ \subset R^{3}$ relates to the Dirichlet spectrum of the bounded domain $I^c ◯ \subset R^{3}$ with $\partial Î©…

math.DG2024

Geometric structure and existence of reducible spherical conical metrics

Zhiqiang Wei, Yingyi Wu, Bin Xu

A conformal metric $d s^{2}$ with finitely many conical singularities of constant Gaussian curvature $K = 1$ on a compact Riemann surface is referred to as a spherical conical m…

math.CV2024

A note on Rational Maps with three branching points on the Riemann sphere