Minkowski时空中类时间Aminov曲面及其高斯图的研究

IF 0.4 Q4 MATHEMATICS

International Electronic Journal of Geometry Pub Date : 2023-04-16 DOI:10.36890/iejg.1195178

S. Büyükkütük

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引用次数: 0

摘要

在这项工作中，我们处理了E_1^4中关于逐点单类型高斯映射的类时间Aminov曲面。首先，我们得到了这类曲面的高斯映射的拉普拉斯算子。然后，我们得到在Minkowski 4-空间中不存在具有调和高斯映射和第一类逐点一型高斯映射的类时间Aminov曲面。进一步，我们给出了具有第二类逐点一型高斯映射的条件。

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An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time

In this work, we handle timelike Aminov surfaces in E_1^4 with respect to having pointwise one type Gauss map. Firstly, we get the laplace of Gauss map of this type of surface. Then, we obtain that there is no timelike Aminov surface having harmonic Gauss map and also pointwise one type Gauss map of first kind in Minkowski 4-space. Further, we yield the conditions of having pointwise one type Gauss map of second kind.

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来源期刊

International Electronic Journal of Geometry MATHEMATICS-

CiteScore

0.80

自引率

14.30%

发文量