Research Article

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

Volume: 7 Number: 1 April 30, 2022
Turkish Journal of Science Cover
Turkish Journal of Science
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Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I

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

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Thanks

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

References

  1. Pottmann, H., Asperl, A., Hofer, M. ve Killian, A., Architectural Geometry, Bentley, D. (ed.), First Edition, Bentley Institute Press, 2007
  2. Berk, A., A Structural Basis for Surface Discretization of Free Form Structures: Integration of Geometry, Materials and Fabrication, Ph. D Thesis, Michigan University, ABD, 2012
  3. Do-Carmo, P.M., Differential geometry of curvesand surfaces. IMPA, 1976
  4. Fenchel,W., On the Differential Geometry of Closed Space Curves, Bulletin of American Mathematical Society, 57(44-54), 1951
  5. Gray A. Modern differential geometry of curves and surfaces with Mathematica, 1997
  6. Pressley A.,Elementary Differential Geometry, Second Edition, Springer London, 2010
  7. Struik D. J., Lectures on classical differential geometry, Addison-Wesley Publishing Company, 1961
  8. Ouarab, S., Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3, Hindawi Abstract and Applied Analysis, Vol. 2021, Article ID 5526536, 8 pages

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

April 30, 2022

Submission Date

May 25, 2022

Acceptance Date

June 9, 2022

Published in Issue

Year 2022 Volume: 7 Number: 1

IZ

https://izlik.org/JA84BX35HL

Cite

RIS / Bibtex
APA
Şenyurt, S., Canlı, D., & Çan, E. (2022). Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I. Turkish Journal of Science, 7(1), 31-42. https://izlik.org/JA84BX35HL
AMA
1.Şenyurt S, Canlı D, Çan E. Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I. TJOS. 2022;7(1):31-42. https://izlik.org/JA84BX35HL
Chicago
Şenyurt, Süleyman, Davut Canlı, and Elif Çan. 2022. “Some Special Smarandache Ruled Surfaces by Frenet Frame in $E^3$ -I”. Turkish Journal of Science 7 (1): 31-42. https://izlik.org/JA84BX35HL.
EndNote
Şenyurt S, Canlı D, Çan E (April 1, 2022) Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I. Turkish Journal of Science 7 1 31–42.
IEEE
[1]S. Şenyurt, D. Canlı, and E. Çan, “Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I”, TJOS, vol. 7, no. 1, pp. 31–42, Apr. 2022, [Online]. Available: https://izlik.org/JA84BX35HL
ISNAD
Şenyurt, Süleyman - Canlı, Davut - Çan, Elif. “Some Special Smarandache Ruled Surfaces by Frenet Frame in $E^3$ -I”. Turkish Journal of Science 7/1 (April 1, 2022): 31-42. https://izlik.org/JA84BX35HL.
JAMA
1.Şenyurt S, Canlı D, Çan E. Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I. TJOS. 2022;7:31–42.
MLA
Şenyurt, Süleyman, et al. “Some Special Smarandache Ruled Surfaces by Frenet Frame in $E^3$ -I”. Turkish Journal of Science, vol. 7, no. 1, Apr. 2022, pp. 31-42, https://izlik.org/JA84BX35HL.
Vancouver
1.Süleyman Şenyurt, Davut Canlı, Elif Çan. Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I. TJOS [Internet]. 2022 Apr. 1;7(1):31-42. Available from: https://izlik.org/JA84BX35HL