R^5中一类4阶Willmore超曲面

A class of 4th order Willmore hypersurfaces in R^5

利用Willmore泛函和Euler-Lagrange方程给出欧氏空间R^5中4阶Willmore旋转超曲面满足的微分方程,进而给出R^5中一类新的4阶Willmore超曲面.

By using Willmore functional and Euler-Lagrange equation, the ordinary differential equation of 4th order revolution Willmore hypersurface in Euclidean space R^5 is established, and then a new class of 4th order Willmore hypersurface is given.