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math.DG2024
The Willmore problem for surfaces with symmetry
Rob Kusner, Ying Lü, Peng Wang
The Willmore Problem seeks closed surfaces in of a given topological type minimizing the squared-mean-curvature energy $W = \int |H_{\mathbb{R}^4}…
math.DG2023
Classification of Minimal Immersions of Conformally Flat -Tori and -Tori in Spheres by The First Eigenfunctions
Ying Lv, Peng Wang, Zhenxiao Xie
This paper is devoted to the study of minimal immersions of flat -tori into spheres, especially those immersed by the first eigenfunctions (such immersion is called -minima…