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- W1521437757 abstract "We construct a sequence of compact embedded minimal disks in a ball in $mathbb {R}^3$, whose boundaries lie in the boundary of the ball, such that the curvature blows up only at a prescribed discrete (and hence, finite) set of points on the $x_3$-axis. This extends a result of Colding and Minicozzi, who constructed a sequence for which the curvature blows up only at the center of the ball, and is a partial affirmative answer to the larger question of the existence of a sequence for which the curvature blows up precisely on a prescribed closed set on the $x_3$-axis." @default.
- W1521437757 created "2016-06-24" @default.
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- W1521437757 date "2005-07-20" @default.
- W1521437757 modified "2023-09-28" @default.
- W1521437757 title "Embedded minimal disks with prescribed curvature blowup" @default.
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- W1521437757 doi "https://doi.org/10.1090/s0002-9939-05-08045-7" @default.
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