Abstract
In the following paper, we deal with the surfaces which are expressed as a linear combination of the components of Bishop frame for a given some special spacelike Smarandache curves in three dimensions Minkowski Space E13  . We analyzed the problem of constructing a family of surfaces from these curves in  E13  , and derive the sufficient conditions for coefficients to satisfy the iso-asymptotic requirements. Additionally, we derive sufficient conditions for coefficients to satisfy both the geodesic and iso-parametric needs.
Highlights
There are many important properties and consequences of curves in differential geometry (O’Neill 1983, 1966)
In the light of the current examinations, creators dependably present new curves, the special Smarandache curves are one of them, it is have been researched by some differential geometers (O’Neill 1966), (Karakus, et al 2016)
This curve is characterized as, a standard curve in Minkowski space-time, whose position vector is created by Frenet frame vectors on another regular curve, is Smarandache curve (Bükcü, et al 2010). (Ali 2010) has presented some special Smarandache curves in the Euclidean space
Summary
There are many important properties and consequences of curves in differential geometry (O’Neill 1983, 1966). Darboux Smarandache bends as indicated in three dimensions Euclidean space has presented in (Bektas, et al 2013) They discovered a few properties of these special curves and discovered normal curvature, geodesic curvature and geodesic torsion of these curves.
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