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arxiv: 1906.04738 · v1 · pith:6AVEUTRQnew · submitted 2019-06-11 · 🧮 math.GM

Normal curves on a smooth immersed surface

Absos Ali Shaikh , Mohamd Saleem Lone , Pinaki Ranjan Ghosh This is my paper
classification 🧮 math.GM
keywords normalcurveimmersedisometrysmoothsurfacecomponentscondition
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The aim of this paper is to investigate the sufficient condition for the invariance of a normal curve on a smooth immersed surface under isometry. We also find the the deviations of the tangential and normal components of the curve with respect to the given isometry.

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  1. Some characterizations of Rectifying and osculating curves on a smooth immersed surface

    math.GM 2019-06 unverdicted novelty 3.0

    Computes position vector components of rectifying and osculating curves in the {T, N, T×N} frame on immersed surfaces and shows invariance under isometry iff normal curvature is invariant or position vector aligns wit...