Swallowtails and cone-like singularities on maxface

2021/03/18 by Kumar, Pradip, Dhochak, Anu
#53A35 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.10353

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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• Higher genus maxfaces with Enneper end
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