The CMC Dynamics Theorem in R^3
The CMC Dynamics Theorem in R^3
复制标题
R^3 中的 CMC 动力学定理
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
G. Tinaglia
中科院分区：
文献类型：
--
作者：
W. Meeks;G. Tinaglia
在本文中，我们开发了一些新的工具和理论，用于描述
In this paper, we develop some new tools and theory that are useful in describing the
geometry of properly embedded, constant mean curvature surfaces in R^3 with bounded
second fundamental form. More precisely, we prove dynamics type results for the space
of translational limits of such a surface. As a consequence of our main theorems, in
subsequent papers we obtain rigidity results for certain properly embedded, constant
mean curvature surfaces in R^3, as well as derive curvature estimates for complete,
embedded, constant mean curvature surfaces in complete locally homogeneous three-
manifolds.