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arXiv 1706.05321math.DG
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旋转极小标架下ruled surface的Legendre曲线和奇点

Legendre curves and singularities of a ruled surface according to rotation minimizing frame

Murat Bekar, Fouzi Hathout, Yusuf Yayli

摘要:

本文利用旋转极小化(RM)向量场给出了单位切丛上的Legendre曲线。表示与这些曲线对应的直纹曲面。对直纹曲面的奇异性进行了分析和分类。

英文摘要:

In this paper, Legendre curves on unit tangent bundle are given using rotation minimizing (RM) vector fields. Ruled surfaces corresponding to these curves are represented. Singularities of these ruled surfaces are also analyzed and classifed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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