Constant pseudo-angle lightlike surfaces

Gül TUĞ
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Abstract

The oriented angles between lightlike vectors cannot be defined properly compared to the timelike vectors in the Minkowski spacetime. Therefore, we use the pseudo-angles between any non-lightlike or lightlike vectors to develop the theory of lightlike surfaces having constant angle with a fixed nonlightlike direction. We investigate some geometric properties on these surfaces such as being a tangent developable. Besides, we construct the constant angle lightlike ruled surfaces by means of the null helices. We give several examples to illustrate the obtained surfaces.
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恒定伪角类光表面
与闵可夫斯基时空中的类光矢量相比,类光矢量之间的取向角不能被恰当地定义。因此,我们使用任何非类光或类光矢量之间的伪角来发展具有恒定角度和固定非类光方向的类光曲面理论。我们研究了这些表面上的一些几何性质,如切线可展。此外,我们还利用零螺旋构造了等角类光直纹曲面。我们给出了几个例子来说明所得到的曲面。
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