Zhengyu Zou

activity

20242026

collaborators

3 papers

math.GT2026

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

Zhengyu Zou

Let $M$ be a closed orientable $3$ -manifold admitting a metric of nonpositive sectional curvature (an NPC metric), and let $G$ be a finite group acting freely on $M$ by orientation…

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 $Σ_{2}$ with 10 vertices and an isometric polyhedral embedding $S: Σ_2 \hookrightarrow \mathbb{…

math.DS2024

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…