Approximating singularities by a cuspidal edge on a maxface
Differential Geometry
2022-04-14 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2103.10358,
title = {Approximating singularities by a cuspidal edge on a maxface},
author = {Pradip Kumar and Sai Rasmi Ranjan Mohanty},
journal= {arXiv preprint arXiv:2103.10358},
year = {2022}
}
Comments
Journal information updated. To appear in Archiv der Mathematik