闵可夫斯基四空间中具有时轴的类时旋转超曲面

IF 0.7 Q2 MATHEMATICS Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2023-06-23 DOI:10.31801/cfsuasmas.1062426

Erhan Güler

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引用次数: 0

摘要

在闵可夫斯基4-空间$\mathbb{E}_1^{4}$中引入了具有时间轴的类时旋转超曲面$\textbf{x}$。我们得到了超曲面曲率的方程。此外，我们还给出了具有类时轴提供$\Delta\textbf{x}=\mathcal{T}\textbf{x}$的旋转超曲面的一个定理，其中$\mathcal{T}$是一个4x4实矩阵。

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Timelike rotational hypersurfaces with timelike axis in Minkowski four-space

We introduce the timelike rotational hypersurfaces $\textbf{x}$ with timelike axis in Minkowski 4-space $\mathbb{E}_1^{4}$. We obtain the equations for the curvatures of the hypersurface. Moreover, we present a theorem for the rotational hypersurfaces with timelike axis supplying $\Delta\textbf{x}=\mathcal{T}\textbf{x}$, where $\mathcal{T}$ is a 4x4 real matrix.

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Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics MATHEMATICS-

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