洛伦兹-闵可夫斯基空间中第三基本形式的平移曲面

IF 0.4 Q4 MATHEMATICS Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2022-04-01 DOI:10.52547/ijmsi.17.1.165

B. Senoussi, M. Bekkar

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摘要

本文研究Lorentz-Minkowski空间L3中具有非退化第三基本形式的平移曲面。因此，我们根据位置向量场和拉普拉斯算子对满足方程的平移曲面进行分类，该方程与曲面上的第三种基本形式III有关。

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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Translation Surfaces of the Third Fundamental Form in Lorentz-Minkowski Space

. In this paper we study translation surfaces with the non-degenerate third fundamental form in Lorentz- Minkowski space L 3 . As a result, we classify translation surfaces satisfying an equation in terms of the position vector ﬁeld and the Laplace operator with respect to the third fundamental form III on the surface.

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