Compactness of the space of genus-one helicoids

Details Compactness of the space of genus-one helicoids Compactness of the space of genus-one helicoids

2009-07-03

arxiv.org/abs/0907.0518v1

Mathematics

Differential Geometry

14 pages, 2 figures

Scientific paper

Using the lamination theory developed by Colding and Minicozzi for sequences
of embedded, finite genus minimal surfaces with boundaries going to infinity
\cite{CM5}, we show that the space of genus-one helicoids is compact (modulo
rigid motions and homotheties). This generalizes a result of Hoffman and White
\cite{HW}.

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