Cuspidal crosscaps and folded singularities on a maxface and a minface

Abstract

For a given zero mean curvature surface $X$ (in the Lorentz Minkowski space) having folded singularity, we construct a family of maxface and minface, having increasing cuspidal crosscaps, converging to $X$. We include a general discussion of this.

published in Indian J Pure Appl Math (2023)