Article
Some special Smarandache ruled surfaces by Frenet Frame in E^3 -I
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Abstract
The paper introduces some new special ruled surfaces with the base TNB- Smarandache curve where the unit vector of the generator is taken as one of other Frenet vectors and their linear combinations. The geometric properties with reference to fundamental forms such as minimality and 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.
Citation
Senyurt, S., Canlı, D., & Can, E. (2022). Some special smarandache ruled surfaces by frenet frame in E^3 -i. Turkish Journal of Science, 7(1), 31–42. https://doi.org/10.66833/TJOS-2022-0005
S. Senyurt, D. Canlı and E. Can, “Some special smarandache ruled surfaces by frenet frame in E^3 -i,” Turkish Journal of Science, vol. 7, no. 1, pp. 31–42, 2022, doi: 10.66833/TJOS-2022-0005.
Senyurt S, Canlı D, Can E. Some special smarandache ruled surfaces by frenet frame in E^3 -i. Turkish Journal of Science. 2022;7(1):31–42. doi:10.66833/TJOS-2022-0005.
Senyurt, S., Canlı, D. and Can, E. (2022), ‘Some special smarandache ruled surfaces by frenet frame in E^3 -i’, Turkish Journal of Science, 7(1), pp. 31–42. Available at: https://doi.org/10.66833/TJOS-2022-0005.
Senyurt, Suleyman, et al. “Some Special Smarandache Ruled Surfaces by Frenet Frame in E^3 -i.” Turkish Journal of Science, vol. 7, no. 1, 2022, pp. 31–42. https://doi.org/10.66833/TJOS-2022-0005.
Senyurt, Suleyman, Davut Canlı, and Elif Can. “Some Special Smarandache Ruled Surfaces by Frenet Frame in E^3 -i.” Turkish Journal of Science 7, no. 1 (2022): 31–42. https://doi.org/10.66833/TJOS-2022-0005.
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Published by: Engineering Journals
