论文标题
以3个空间形式的持续偏斜曲率对旋转表面进行分类
Classification of rotational surfaces with constant skew curvature in 3-space forms
论文作者
论文摘要
在本文中，我们以$ 3 $空间表单的持续偏斜曲率对旋转表面进行分类。我们还将这些表面的轮廓曲线的变异表征作为涉及曲线曲率指数的曲率能量的临界点。最后，我们提供了一个相反的过程，以基于其二进制矢量场的流动下的临界曲线的演化，以持续的偏斜曲率产生所有旋转表面。
In this paper, we classify the rotational surfaces with constant skew curvature in $3$-space forms. We also give a variational characterization of the profile curves of these surfaces as critical points of a curvature energy involving the exponential of the curvature of the curve. Finally, we provide a converse process to produce all rotational surfaces with constant skew curvature based on the evolution of a critical curve under the flow of its binormal vector field with prescribed velocity.
