Zhengyu Zou

collaborators

3 papers

math.GT2026

Isometric free finite group actions on non-positively curved 3-manifolds

Zhengyu Zou

The paper proves that any closed orientable 3‑manifold with a non‑positive curvature metric that admits a free, orientation‑preserving finite group action also admits a group‑invar…

math.MG2025

Vertex-minimal hyperbolic origami 2-torus

Zhengyu Zou

We show that there exists a geodesic triangulation $T$ of a hyperbolic genus 2 surface $I^£_{2}$ with 10 vertices and an isometric polyhedral embedding $S: Î£_2 \hookrightarrow \mathb…

math.DS2025

Spirals, Tic-Tac-Toe Partition, and Deep Diagonal Maps

Zhengyu Zou

The deep diagonal map $T_{k}$ acts on planar polygons by connecting the $k$ -th diagonals and intersecting them successively. The map $T_{2}$ is the pentagram map, and $T_{k}$ is a genera…