ℝ中的时样零均值曲率曲面1 4

Pub Date : 2024-06-11 DOI:10.1515/gmj-2024-2028

Seher Kaya

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引用次数: 0

摘要

摘要我们对 R 1 4 \mathbb{R}_{1}^{4} 中时间状曲面的比约林问题的解很感兴趣。本文的主要贡献在于提出了许多新的时样零均值曲率曲面的例子，并给出了它们的显式参数方程。在特殊情况下，我们会发现这些曲面的参数方程与洛伦兹-闵科夫斯基 3 空间中的时间极小曲面重合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Timelike zero mean curvature surfaces in ℝ1 4

Abstract We are interested in the solution of the Björling problem for timelike surfaces in R 1 4 \mathbb{R}_{1}^{4} . The main contribution of the paper is to present new and many examples of timelike zero mean curvature surfaces and give their explicit parametric equations. In particular cases, one observes that the parametric equations of these surfaces coincide with the timelike minimal surfaces in Lorentz–Minkowski 3-space.

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