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Rectifying curves under conformal transformation
Journal of Geometry and Physics ( IF 1.5 ) Pub Date : 2021-01-14 , DOI: 10.1016/j.geomphys.2021.104117
Absos Ali Shaikh , Mohamd Saleem Lone , Pinaki Ranjan Ghosh

The main aim of this paper is to investigate the nature of invariance of rectifying curve under conformal transformation and obtain a sufficient condition for which such a curve remains conformally invariant. It is shown that the normal component and the geodesic curvature of the rectifying curve is homothetic invariant.



中文翻译:

共形变换下的曲线校正

本文的主要目的是研究在保角变换下校正曲线不变性的性质,并为该曲线保持保形不变性提供充分的条件。结果表明,整流曲线的正态分量和测地曲率是不变的。

更新日期:2021-01-22
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