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

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

2008-03-05

arxiv.org/abs/0803.0629v2

Mathematics

Differential Geometry

12 pages, 3 figures, replaced because of corrupted file

Scientific paper

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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