数学杂志2024，Vol.44Issue(2)：157-164,8.
空间形式中具有三个不同主曲率的极小Willmore超曲面
THE MINIMAL WILLMORE HYPERSURFACES WITH THREE DIFFERENT PRINCIPAL CURVATURES IN THE SPACE FORM
摘要
Abstract
In this paper,we study the Willmore hypersurface in space form.Starting from the 2-type rotational hypersurface,by calculating the first fundamental form and the second fundamental form of the 2-type rotational hypersurface,using the method of moving frame,we obtain the equivalent condition that the hypersurface is a minimal Willmore hypersurface,and construct a new example of a minimal Willmore rotational hypersurface with three different principal curvatures in space form.关键词
Willmore超曲面/Willmore泛函/旋转超曲面Key words
Willmore hypersurface/Willmore functional/Rotation hypersurface分类
数理科学引用本文复制引用
陈瑞丰..空间形式中具有三个不同主曲率的极小Willmore超曲面[J].数学杂志,2024,44(2):157-164,8.基金项目
国家自然科学基金资助(12161092). （12161092）
