Rectifying curves on a smooth surface immersed in the euclidean space

2018/08/09 by Shaikh, Absos Ali, Ghosh, Pinaki Ranjan
#51M05 #53A04 #53A05 #53A15 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1808.03270

Abstract

The main objective of the present paper is to investigate a sufficient condition for which a rectifying curve on a smooth surface remains invariant under isometry of surfaces, and also it is shown that under such an isometry the component of the position vector of a rectifying curve on a smooth surface along the normal to the surface is invariant.

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