空间形式中具有三个不同主曲率的极小Willmore超曲面OACSTPCD
THE MINIMAL WILLMORE HYPERSURFACES WITH THREE DIFFERENT PRINCIPAL CURVATURES IN THE SPACE FORM
本文研究了空间形式中关于Willmore超曲面.从2-型旋转超曲面出发,通过计算2-型旋转超曲面的第一基本形式和第二基本形式,运用活动标架的方法,获得了超曲面是极小Willmore超曲面的等价条件,构造了空间形式中一类具有三个不同主曲率的极小Willmore旋转超曲面的新的例子.
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.
陈瑞丰
云南师范大学数学学院,云南昆明 650500
数学
Willmore超曲面Willmore泛函旋转超曲面
Willmore hypersurfaceWillmore functionalRotation hypersurface
《数学杂志》 2024 (002)
157-164 / 8
国家自然科学基金资助(12161092).
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