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

M. M. Wageeda | Zendy

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Asymptotic 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.

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