Rui-Jie Ni

collaborators

2 papers

math.DG2026

Willmore Energy Estimates for Klein Bottles

Ruijie Ni, Peng Wang

In this note, we provide an estimate for the Willmore energy of Klein bottles in $R^{N}$ , building on the ideas of Li-Yau and Montiel-Ros for $2$ -tori. In particular, we prov…

math.DG2026

On the Willmore energy of flat $n$ -tori in $R^{N}$ and Chen's conjecture for $n$ -tori

Ruijie Ni, Peng Wang, Zhenxiao Xie

This paper establishes the sharp lower bound $(4 n π^{2})^{n /2}$ for the Willmore energy $W$ of flat $n$ -tori in the Euclidean space. Up to Möbius transformations, the Cliffo…

Willmore Energy Estimates for Klein Bottles

On the Willmore energy of flat n-tori in RN and Chen's conjecture for n-tori

On the Willmore energy of flat $n$ -tori in $R^{N}$ and Chen's conjecture for $n$ -tori