Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds
Differential Geometry
2008-03-06 v2
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.
Keywords
Cite
@article{arxiv.0803.0629,
title = {Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds},
author = {Maria Calle and Darren Lee},
journal= {arXiv preprint arXiv:0803.0629},
year = {2008}
}
Comments
12 pages, 3 figures, replaced because of corrupted file