A Minimal Lamination with Cantor Set-Like Singularities
Kleene, Stephen J.
الأصل · EN
Given a compact closed subset M of a line segment in R³, 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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