The limit lamination metric for the Colding-Minicozzi minimal lamination
نویسندگان
چکیده
منابع مشابه
Bending the Helicoid
We construct Colding-Minicozzi limit minimal laminations in open domains in R with the singular set of C-convergence being any properly embedded C-curve. By Meeks’ C-regularity theorem, the singular set of convergence of a Colding-Minicozzi limit minimal lamination L is a locally finite collection S(L) of C-curves that are orthogonal to the leaves of the lamination. Thus, our existence theorem ...
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Suppose L is a lamination of a Riemannian manifold by hypersurfaces with the same constant mean curvature. 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. Mathematics Subject Classification: Primary 53A10, Secondary 49Q05, 53C42
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2005
ISSN: 0019-2082
DOI: 10.1215/ijm/1258138037