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

Calle, Maria; Lee, Darren

doi:10.1007/s00209-008-0346-1

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

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Calle, Maria
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0803.0629v2.pdf
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Citation

Calle, M., & Lee, D. (2009). Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds. Mathematische Zeitschrift, 261(4), 725-736. doi:10.1007/s00209-008-0346-1.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-44FE-6

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.