Rotational hypersurfaces with constant 2-mean curvature in R^(n+1)

Miskolc Mathematical Notes

article

Yuhang Liu¹ 

[1] Peking University, Beijing International Center for Mathematical Research

关键词: higher order mean curvature;    rotational hypersurface;    non-linear differential equations;   

DOI  :  10.18514/MMN.2022.3901

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

We study rotational hypersurfaces with constant $2$-mean curvature in $\mathbb{R}^{n+1}$. We derive the ODE for the generating curves of such hypersurfaces, and find an integral expression for the inverse function of the solution.

【 授权许可】

CC BY