Chiyu Zhou

collaborators

Showing math.DGShow all

4 papers · 1 filter

math.DG2026

Structure theorems for Lichnerowicz-sharp graphs

Yanlong Ding, Shiping Liu, Chiyu Zhou

Hypercube graphs are fundamental model spaces of positive curvature in discrete comparison geometry. Let $G$ be a finite, connected, simple, unweighted graph with Bakry--Émery curv…

math.DG2026

Pointwise subexponential growth and near-diffusive displacement on bounded-degree graphs with non-negative Ollivier--Ricci curvature

Chiyu Zhou

Let $G = (V, E)$ be a possibly infinite, locally finite graph with non-negative Ollivier--Ricci curvature and degrees bounded by $d < \infty$ . We prove that there exists a constant $C_d…

math.DG2026

Regular Lichnerowicz-sharp graphs are hypercube bundles

Yanlong Ding, Shiping Liu, Chiyu Zhou

Hypercube graphs are fundamental model spaces of positive curvature in discrete comparison geometry. Let $G$ be a finite, connected, simple, unweighted graph with Bakry--Émery curv…

math.DG2025

Quantitative Obata's theorem in discrete setting

Shiping Liu, Chiyu Zhou

Under mild assumptions, we show that a connected weighted graph $G$ with lower Ricci curvature bound $K > 0$ in the sense of Bakry-Émery and the $d$ -th non-zero Laplacian eigenvalue…