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

Year 2022, Volume: 7 Issue: 1, 31 - 42, 30.04.2022

Süleyman Şenyurt , Davut Canlı , Elif Çan

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

Supporting Institution

None

Project Number

None

Thanks

Thanks in advance for your time and consideration on our manuscript.

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