论文标题
在保存地图和相关主题的区域的共形点上
On conformal points of area preserving maps and related topics
论文作者
论文摘要
在本文中，我们考虑了保护平面域的差异性的区域，我们对它们的保形点感兴趣，即衍生物是相似性的点。我们提出了一些条件，可以保证对哈密顿矢量场的无限问题以及我们所谓的简单连接域的中等符号切除型的存在。我们还将这个问题与Carathéodory和Loewner猜想联系起来。
In this article we consider area preserving diffeomorphisms of planar domains, and we are interested in their conformal points, i.e., points at which the derivative is a similarity. We present some conditions that guarantee existence of conformal points for the infinitesimal problem of Hamiltonian vector fields as well as for what we call moderate symplectomorphisms of simply connected domains. We also link this problem to the Carathéodory and Loewner conjectures.
