论文标题
躺在适用的表面和弯曲的公寓
Lie applicable surfaces and curved flats
论文作者
论文摘要
我们研究了Lie Sphere几何形状中的弯曲平面。我们表明,在这种情况下,弯曲的公寓与Darboux Transformation相关的谎言表面的成对的lies limoulin家族是一对一的对应关系。
We investigate curved flats in Lie sphere geometry. We show that in this setting curved flats are in one-to-one correspondence with pairs of Demoulin families of Lie applicable surfaces related by Darboux transformation.