Peng Wang

collaborators

4 papers

math.DG2025

The Willmore problem for surfaces with symmetry

Rob Kusner, Ying LÃ¼, Peng Wang

The Willmore Problem seeks closed surfaces in $S^{3} \subset R^{4}$ of a given topological type minimizing the squared-mean-curvature energy $W = \int |H_{\mathbb{R}^4}…

math.DG2025

Classification of Willmore $2$ -spheres in $S^{n}$

Xiang Ma, Franz Pedit, Peng Wang

This paper resolves a long-standing open problem by providing a classification of Willmore $2$ -spheres in $S^{n}$ . We show that any such $2$ -sphere is either totally isotropic--origi…

math.DG2025

Minimal isometric immersions of flat n-tori into spheres

Ying Lv, Peng Wang, Zhenxiao Xie

In 1985, Bryant established that a flat $2$ -torus admits a minimal isometric immersion into some round sphere if and only if a certain rationality condition is satisfied. We show t…

math.DG2024

Gauss maps of MÃ¶bius surfaces in the $n$ -dimensional sphere

David Brander, Shimpei Kobayashi, Peng Wang

In this note we discuss Gauss maps for MÃ¶bius surfaces in the $n$ -sphere, and their applications in the study of Willmore surfaces. One such ``Gauss map'', naturally associated to…

The Willmore problem for surfaces with symmetry

Classification of Willmore 2-spheres in Sn

Minimal isometric immersions of flat n-tori into spheres

Gauss maps of MÃ¶bius surfaces in the n-dimensional sphere

Classification of Willmore $2$ -spheres in $S^{n}$

Gauss maps of MÃ¶bius surfaces in the $n$ -dimensional sphere