直纹曲面沿类空间曲线的演化

Gu¨l UG˘ UR Kaymanli, Cumali Ekici
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引用次数: 0

摘要

本文研究了在三维闵可夫斯基空间中由拟法向量和拟二法向量沿类空间曲线得到的直纹曲面。得到了基于准曲率的时间演化方程。研究了拟法线和拟二法线直纹曲面的方向演化,探讨了这些直纹曲面的不可扩展性、可展开性、平坦性和极小性等几何性质。
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Evolutions of the Ruled Surfaces along a Spacelike Space Curve
In this paper, we work on the ruled surfaces obtained by a quasi normal and quasi binormal vectors along a spacelike space curve in three dimensional Minkowski space. Time evolution equations depending on quasi curvatures are obtained. Studying directional evolutions of both quasi normal and quasi binormal ruled surfaces by using their directrices, we investigate some geometric properties such as inextensibilty, developability, flatness and minimality of these ruled surfaces.
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