A minimal lamination with Cantor set-like singularities
نویسندگان
چکیده
منابع مشابه
A Minimal Lamination with Cantor Set-like Singularities
Given a compact closed subset M of a line segment in R, we construct a sequence of minimal surfaces Σk embedded in a neighborhood C of the line segment that converge smoothly to a limit lamination of C away from M . Moreover, the curvature of this sequence blows up precisely on M , and the limit lamination has non-removable singularities precisely on the boundary of M .
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2012
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2011-10971-7