论文标题
2个球的差异元素的失真元素
Distortion element in group of diffeomorphisms of the 2-sphere
论文作者
论文摘要
我们证明，2个球体的差异群中的每个失真元素，其复发点未固定，这是一个非理性的伪旋转。此外，我们证明，在固定点上至少有三个固定点的2个球体的差异元素的差异元素的差异具有1个。
We prove that every distortion element in the group of diffeomorphisms of the 2-sphere which has some recurrent point that is not fixed is an irrational pseudo-rotation. Moreover we prove that the differential of a distortion element in the group of diffeomorphisms of the 2-sphere having at least three fixed points at a fixed point has a unique eigenvalue which is 1.
