LIMIT LEAVES OF AN H LAMINATION ARE STABLE

作者：Meeks William H III^*; Perez Joaquin; Ros Antonio

来源：Journal of Differential Geometry, 2010, 84(1): 179-189.

Suppose L is a lamination of a Riemannian manifold by hyper-surfaces with the same constant mean curvature H. We prove that every limit leaf of L is stable for the Jacobi operator. A simple but important consequence of this result is that the set of stable leaves of L has the structure of a lamination.

• 出版日期2010-1