论文标题

4维Minkowski空间中的等距时间表表面

Isometric Timelike Surfaces in 4--Dimensional Minkowski Space

论文作者

Demirci, Burcu Bektaş, Babaarslan, Murat, Küçükarikan, Yasin

论文摘要

在本文中,首先,我们在4维Minkowski空间中研究Bour定理的四种静态螺旋表面。其次,我们分析具有相同高斯图的这些等距表面的几何特性。同样,我们介绍了这种等距对表面的参数化。最后,我们介绍了一些示例,并使用Wolfram Mathematica 10.4绘制相应的图。

In this paper, first we study on Bour's theorem for four kinds of timelike helicoidal surfaces in 4-dimensional Minkowski space. Secondly, we analyse the geometric properties of these isometric surfaces having same Gauss map. Also, we present the parametrizations of such isometric pair of surfaces. Finally, we introduce some examples and draw the corresponding graphs by using Wolfram Mathematica 10.4.

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