论文标题
第四基本形式和$ i $ -th曲率公式，$ {\ mathbb {e}}}^{4} $
Fourth Fundamental Form and $i$-th Curvature Formulas in ${\mathbb{E}}^{4}$
论文作者
论文摘要
我们介绍了四维欧几里得几何$ {\ Mathbb {e}}^{4} $中的Hypersurfaces的第四个基本表格$ iv，$ iv，$ i $ th曲率公式。定义第四个基本形式和$ i $ th的曲线，我们在旋转的超表面上计算它们。此外，我们研究满足$δ^{iv} \ mathbf {x = ax} $的旋转hypersurface for $ 4 \ times 4 $ matrix $ \ mathbf {a。} $
We introduce fourth fundamental form $IV,$ and $i$-th curvature formulas of hypersurfaces in the four dimensional Euclidean geometry ${\mathbb{E}}^{4}$. Defining fourth fundamental form and $i$-th curvatures for hypersurfaces, we calculate them on rotational hypersurface. In addition we study rotational hypersurface satisfying $Δ^{IV}\mathbf{x=Ax}$ for some $4\times 4$ matrix $\mathbf{A.}$
