Darboux Iso-Geodesic Special Curve in Euclidean Space

M. M. Wageeda, E. M. Solouma and M. Bary

Modern Applied Science, 2019, vol. 13, issue 9, 98

Abstract: In this paper, by using Darboux frame we scrutinize the issues of reconstructing surfaces with given some unusual Smarandache curves in Euclidean 3-space, we make manifest the family of surfaces as a linear combination of the components of this frame and derive the necessary and sufficient conditions for coefficients to satisfy both the iso-geodesic and iso-parametric requirements.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:masjnl:v:13:y:2019:i:9:p:98

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