极大面上尖棱逼近奇点
Approximating singularities by a cuspidal edge on a maxface
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。