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首页> 外文期刊>Hadronic Journal >ON SOME CHARACTERIZATIONS OF RULED SURFACE OF A CLOSED SPACELIKE CURVE WITH TIMELIKE BINORMAL IN DUAL LORENTZIAN SPACE
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ON SOME CHARACTERIZATIONS OF RULED SURFACE OF A CLOSED SPACELIKE CURVE WITH TIMELIKE BINORMAL IN DUAL LORENTZIAN SPACE

机译:双劳伦兹空间中带时滞双规范的封闭Spacelike曲线规则曲面的一些特征

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摘要

A ruled surface is a surface that can be swept out by moving a line in space. Ruled surfaces may be generated or defined in several ways. In this paper, we define the closed ruled surface which generated by a spacelike cure with timelike binormal. Then we calculate the pitch, the angle of pitch and drall of parallel ruled surface.More over we describe parallel ruled surface which produced by a spacelike curve with timelike binormal. We investigate the relations between the pitch lenght, the dual angle of pitch and drall of parallel ruled surface of a closed spacelike curve with timelike binormal in dual Lorentzian space. Finally we compute the pitch lenght, the dual angle of pitch and drall of the ruled surface which generated by a unit vectors C and C in the instantaneous dual Darboux vectors φ and φ.
机译:直纹表面是可以通过在空间中移动线条将其清除的表面。可以以多种方式生成或定义直纹曲面。在本文中,我们定义了封闭的直纹曲面,该曲面是由具有时空的双法线的空间固化产生的。然后,我们计算出平行直纹面的螺距,螺距角和偏角。此外,我们还描述了由具有时间似双法线的空间曲线产生的平行直纹面。我们研究了在双洛伦兹空间中具有时间似双法线的封闭空间似曲线的平行直纹面的螺距长度,螺距对角和倾斜度之间的关系。最终,我们计算了瞬时双重达伯矢量φ和φ中单位矢量C和C生成的直纹表面的螺距长度,螺距和倾斜度的对角。

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