Darboux Iso-Geodesic Special Curve in Euclidean Space

  •  M. M. Wageeda    
  •  E. M. Solouma    
  •  M. Bary    


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.

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