论文标题
结和能量变化的无限弯曲
Infinitesimal bending of knots and energy change
论文作者
论文摘要
我们讨论r^{3}中曲线和结的无限弯曲。概述了有关曲线无限弯曲的结果的简要概述。考虑了在结中的无限弯曲下的Willmore能量以及Mobius能量的变化。我们的可视化工具提出了致力于无限弯曲结的视觉表示。
We discuss infinitesimal bending of curves and knots in R^{3}. A brief overview of the results on the infinitesimal bending of curves is outlined. Change of the Willmore energy, as well as of the Mobius energy under infinitesimal bending of knots is considered. Our visualization tool devoted to visual representation of infinitesimal bending of knots is presented.