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arXiv · 2103.10358

Approximating singularities by a cuspidal edge on a maxface

Pradip Kumar·Sai Rasmi Ranjan Mohanty
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Abstract

We give necessary and sufficient conditions on the singular Bj\"{o}rling data to the singular Bj\"{o}rling problem's solution has a prescribed nature of singularity. As an application, we prove that near a maxface with a particular type of singularity, there is another maxface having a cuspidal-edge. An example of a maxface having various types of singularities is also given.

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Pradip Kumar, Sai Rasmi Ranjan Mohanty. 2021-03-18. Approximating singularities by a cuspidal edge on a maxface. https://arxiv.org/abs/2103.10358

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