Author

Yunheng Zhang

h-index 1 View on Semantic Scholar

We have 2 of 6 papers

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Jul 2026

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

Let $M^n$ $(n\geqslant3)$ be a closed minimal submanifold in the unit sphere $\mathbb S^{n+m}$ $(m\geqslant2)$ with flat normal bundle, and let $S$ denote the squared norm of its second fundamental form. We prove an explicit second-gap rigidity theorem for $S$. More precisely, if $S$ is constant and \[ 0\leqslant S\leq...

Jianquan Ge, Fagui Li, Yunheng Zhang · 7 citations

Preprint Jul 2026

Lu's conjecture for minimal surfaces in codimension two

Let $M^2\to\mathbb{S}^4$ be a closed minimal immersion, let $S$ be the squared norm of its second fundamental form, and let $\lambda_1\geq\lambda_2\geq0$ be the eigenvalues of Lu's fundamental matrix. We classify all such immersions for which $S+\lambda_2$ is constant. We prove that the constant can only be $0$ or $2$....

Jian-Quan Ge, Fa-Gui Li, Yunheng Zhang · 1 citation