论文标题
在圆形衍生物旋转的循环差异上
On the projective derivative cocycle for circle diffeomorphisms
论文作者
论文摘要
我们将投射衍生物研究为圆形差异群体的莫比乌斯转化的共生。通过计算该合过程的精确表达式,我们获得了有关旋转旋转合过程的可降低性和几乎降低性的几个结果。我们还将此旋钮的扩展引入了对对角线的3多头,我们将其推广到先前的结果。
We study the projective derivative as a cocycle of Möbius transformations over groups of circle diffeomorphisms. By computing precise expressions for this cocycle, we obtain several results about reducibility and almost reducibility to a cocycle of rotations. We also introduce an extension of this cocycle to the diagonal action on the 3-torus for which we generalize the previous results.