Embedded constant mean curvature surfaces in Euclidean three-space
Embedded constant mean curvature surfaces in Euclidean three-space
复制标题
欧几里得三空间中的嵌入常平均曲率曲面
作者：
Christine Breiner;N. Kapouleas
在本文中，我们采用卡普莱斯 (Invent Math 119(3):443–518, 1995) 开发的方法的更精确和更强大的版本，改进了卡普莱斯 (Ann Math 131:239–330, 1990) 开发的欧几里得三空间中完整的常平均曲率曲面的构造和相关估计。因此，我们消除了在 Kapouleas 中建立完整的恒定平均曲率曲面的嵌入性的严格限制（Ann Math 131：239-330，1990），并且我们产生了一大类有限拓扑的新嵌入示例。
In this paper we refine the construction and related estimates for complete constant mean curvature surfaces in Euclidean three-space developed in Kapouleas (Ann Math 131:239–330, 1990) by adopting the more precise and powerful version of the methodology which was developed in Kapouleas (Invent Math 119(3):443–518, 1995). As a consequence we remove the severe restrictions in establishing embeddedness for complete Constant Mean Curvature surfaces in Kapouleas (Ann Math 131:239–330, 1990) and we produce a very large class of new embedded examples of finite topology.