CMC层合板的极限叶是稳定的
Limit leaves of a CMC lamination are stable
摘要:
设${\cal L}$是一个黎曼流形由具有相同常数中曲率的超曲面构成的层。证明了${\cal L}$的每一个极限叶对Jacobi算子都是稳定的.这个结果的一个简单但重要的结果是${\cal L}$的稳定叶的集合具有层结构。
英文摘要:
Suppose ${\cal L}$ is a lamination of a Riemannian manifold by hypersurfaces with the same constant mean curvature. We prove that every limit leaf of ${\cal L}$ is stable for the Jacobi operator. A simple but important consequence of this result is that the set of stable leaves of ${\cal L}$ has the structure of a lamination.
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