Yunheng Zhang

collaborators

4 papers

math.DG2026

Lu's conjecture for minimal surfaces in codimension two

Jianquan Ge, Fagui Li, Yunheng Zhang

Let $M^{2} \to S^{4}$ be a closed minimal immersion, let $S$ be the squared norm of its second fundamental form, and let $λ_{1} \geq λ_{2} \geq 0$ be the eigenvalues of Lu's fundamental…

math.DG2026

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres

Jianquan Ge, Fagui Li, Yunheng Zhang

Let $M^{n}$ $(n ⩾ 3)$ be a closed minimal submanifold in the unit sphere $S^{n + m}$ $(m ⩾ 2)$ with flat normal bundle, and let $S$ denote the squared norm of its s…

math.DG2026

Pinching rigidity theorems for normal scalar curvature

Jianquan Ge, Fagui Li, Yunheng Zhang

Let $M^{n}$ be an $n$ -dimensional closed minimal submanifold immersed in the unit sphere $S^{n + m}$ . Denote by $S$ and $ρ^{⊥}$ the squared norm of the second fundamental…

math.DG2025

Chern Conjecture on Minimal Willmore Hypersurfaces with Constant Scalar Curvature

Jianquan Ge, Huixin Tan, Wenjiao Yan +1

In this paper, we prove that for an $n$ -dimensional closed minimal Willmore hypersurface $M^{n}$ with constant scalar curvature in the unit sphere $S^{n + 1}$ , the squared nor…