标题： Lie球几何中Wilczynski射影框架的类比：Lie可适用曲面与带有磁场的交换Schrödinger算子 显示英文标题

标题： The analogue of Wilczynski's projective frame in Lie sphere geometry: Lie-applicable surfaces and commuting Schrödinger operators with magnetic fields

摘要： 我们提出了一种基于复制威尔齐恩斯基射影框架方程的线性系统，在李球几何中的曲面扭量构造。 在李可应用曲面的特殊情况下，这个线性系统描述了带有磁场的两个对易薛定谔算子的共同本征函数。 显示英文摘要

摘要： We propose a twistor construction of surfaces in Lie sphere geometry based on the linear system which copies equations of Wilczynski's projective frame. In the particular case of Lie-applicable surfaces this linear system describes joint eigenfunctions of a pair of commuting Schr\"odinger operators with magnetic fields.