Compactness of the Space of Genus-one Helicoids

نویسندگان

  • JACOB BERNSTEIN
  • CHRISTINE BREINER
چکیده

Using the lamination theory developed by Colding and Minicozzi for sequences of embedded, finite genus minimal surfaces with boundaries going to infinity [5], we show that the space of genus-one helicoids is compact (modulo rigid motions and homotheties). This generalizes a result of Hoffman and White [12].

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تاریخ انتشار 2009