Open AccessAsymptotic and Geodesic Bishop Curves in Three Dimensions Minkowski Space E_1^3
Author(s) -
M. M. Wageeda
Publication year - 2019
Publication title -
modern applied science
Language(s) - English
Resource type - Journals
eISSN - 1913-1852
pISSN - 1913-1844
DOI - 10.5539/mas.v13n8p158
Subject(s) - minkowski space , geodesic , space (punctuation) , mathematics , parametric statistics , frame (networking) , pure mathematics , mathematical analysis , geometry , computer science , statistics , telecommunications , operating system
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.