Asymptotic and Geodesic Bishop Curves in Three Dimensions Minkowski Space E_1^3

摘要

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.