Compactness of the space of genus-one helicoids
classification
🧮 math.DG
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citegenus-onehelicoidsspaceboundariescoldingcompactcompactness
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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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