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arXiv 2103.10358math.DGmath-phmath.MP
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极大面上尖棱逼近奇点

Approximating singularities by a cuspidal edge on a maxface

Pradip Kumar, Sai Rasmi Ranjan Mohanty

摘要:

给出了奇异Björling数据的奇异Björling问题的解具有规定的奇异性的充要条件。作为应用,我们证明了在一个具有特殊类型奇异性的极大面附近,存在另一个具有尖边的极大面。文中还给出了一个具有各种奇异性的极大面的例子。

英文摘要:

We give necessary and sufficient conditions on the singular Björling data to the singular Björling 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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