论文标题
de Sitter 3空间中恒定平均曲率的分析扩展
Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space
论文作者
论文摘要
我们表明，真实分析图的图像的“分析完整性”的某些简单陈述的概念意味着该地图不接受分析扩展。我们还通过定义连续地图的弧形性来为分析完整性概念提供了有用的标准，这可以被视为非常弱的符合性。作为应用程序，我们判断一类恒定平均曲率表面（所谓的“ G-Catenoid”）的分析完整性或在DE Sitter 3空间中的分析扩展。
We show that a certain simply-stated notion of "analytic completeness" of the image of a real analytic map implies the map admits no analytic extension. We also give a useful criterion for that notion of analytic completeness by defining arc-properness of continuous maps, which can be considered as a very weak version of properness. As an application, we judge the analytic completeness of a certain class of constant mean curvature surfaces (the so-called "G-catenoids") or their analytic extensions in the de Sitter 3-space.
