(R2026) Special Smarandache Ruled Surfaces According to Flc Frame in E^3

Authors

Süleyman Şenyurt, Ordu University
Kebire Hilal Ayvacı, Ordu University
Davut Canlı, Ordu University

Abstract

In this study, we introduce some special ruled surfaces according to the Flc frame of a given polynomial curve. We name these ruled surfaces as TD₂, TD₁ ve D₂D₁ Smarandache ruled surfaces and provide their characteristics such as Gauss and mean curvatures in order to specify their developability and minimality conditions. Moreover, we examine the conditions if the parametric curves of the surfaces are asymptotic, geodesic or curvature line. Such conditions are also argued in terms of the developability and minimality conditions. Finally, we give an example and picture the corresponding graphs of ruled surfaces by using Maple 17.

Recommended Citation

Şenyurt, Süleyman; Ayvacı, Kebire Hilal; and Canlı, Davut (2023). (R2026) Special Smarandache Ruled Surfaces According to Flc Frame in E^3, Applications and Applied Mathematics: An International Journal (AAM), Vol. 18, Iss. 1, Article 16.
Available at: https://digitalcommons.pvamu.edu/aam/vol18/iss1/16