Swallowtails and cone-like singularities on maxface

Published 18 Mar 2021 in math.DG | (2103.10353v1)

Abstract: When a connected component of the set of singular points of the maxface $X$ consists of only generalized cone-like singular points, we construct a sequence of maxfaces $X_n$, with an increasing number of swallowtails, converging to the maxface $X$. We include the general discussion toward this.

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