论文标题
平均曲率流的广义自相似解的规则表面
Ruled surfaces of generalized self-similar solutions of the mean curvature flow
论文作者
论文摘要
在Euclidean空间中，我们调查表面的平均曲率$ h $满足等式$ h =α\ langle n，\ mathbf {x} \ rangle+λ$，其中$ n $是高斯地图，$ \ m m mathbf {x} $是位置vector vector vector vector and $α$和$α$ and $ las $ cartants。那里的表面概括了平均曲率流的自我撕裂者和自扩散者。我们对统治表面和翻译表面进行了分类，证明它们是圆柱体表面。
In Euclidean space, we investigate surfaces whose mean curvature $H$ satisfies the equation $H=α\langle N,\mathbf{x}\rangle+λ$, where $N$ is the Gauss map, $\mathbf{x}$ is the position vector and $α$ and $λ$ are two constants. There surfaces generalize self-shrinkers and self-expanders of the mean curvature flow. We classify the ruled surfaces and the translation surfaces, proving that they are cylindrical surfaces.
