Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I

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Turkish Journal of Science
Volume:7 Issue:1
Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I

Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I

Authors : Süleyman ŞENYURT, Davut CANLI, Elif ÇAN

Pages : 31-42

View : 41 | Download : 10

Publication Date : 2022-04-30

Article Type : Research Paper

Abstract :The paper introduces some new special ruled surfaces possessing the base as the TNB- Smarandache curve of Frenet frame. The geometric properties such as minimality or developability of each generated surface are examined by Gauss and mean curvatures. An example is also given by considering the famous Viviani’s curve.
Keywords : Frenet frame, ruled surfaces, Smarandache geometry, fundamental forms

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