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arXiv · 0803.0629

Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds

Maria Calle·Darren Lee
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Abstract

We show that there exists a metric with positive scalar curvature on S2xS1 and a sequence of embedded minimal cylinders that converges to a minimal lamination that, in a neighborhood of a strictly stable 2-sphere, is smooth except at two helicoid-like singularities on the 2-sphere. The construction is inspired by a recent example by D. Hoffman and B. White.

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Maria Calle, Darren Lee. 2008-03-06. Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds. https://arxiv.org/abs/0803.0629

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