Rectifying curves on a smooth surface immersed in the Euclidean space

Absos Ali Shaikh () and Pinaki Ranjan Ghosh ()
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Absos Ali Shaikh: University of Burdwan
Pinaki Ranjan Ghosh: University of Burdwan

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 4, 883-890

Abstract: 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.

Keywords: Rectifying curve; Frenet-Serret equation; isometry of surfaces; first fundamental form (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s13226-019-0361-4

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