论文标题
在零扭转点的零扭转点上，对环的负扭转图
On the set of points of zero torsion for negative-torsion maps of the annulus
论文作者
论文摘要
对于环上的负反应图，我们表明，在每一个$ \ mathcal {c}^1 $基本曲线上，至少有一个零扭转点。作为结果，我们推断出，零扭转点集的Hausdorff尺寸更大或相等1。作为副产品，我们获得了birkhoff的类似于$ \ MATHCAL {C}^1 $基本曲线的birkhoff teorem样结果。
For negative-torsion maps on the annulus we show that on every $\mathcal{C}^1$ essential curve there is at least one point of zero torsion. As an outcome, we deduce that the Hausdorff dimension of the set of points of zero torsion is greater or equal 1. As a byproduct, we obtain a Birkhoff's-theorem-like result for $\mathcal{C}^1$ essential curves in the framework of negative-torsion maps.
