Araştırma Makalesi

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

Cilt: 7 Sayı: 1 30 Nisan 2022
Turkish Journal of Science Kapak
Turkish Journal of Science
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EN

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

Öz

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.

Anahtar Kelimeler

Destekleyen Kurum

None

Proje Numarası

None

Teşekkür

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

Kaynakça

  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

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

30 Nisan 2022

Gönderilme Tarihi

25 Mayıs 2022

Kabul Tarihi

9 Haziran 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 7 Sayı: 1

IZ

https://izlik.org/JA84BX35HL

Kaynak Göster

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, ve 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 (01 Nisan 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, ve E. Çan, “Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I”, TJOS, c. 7, sy 1, ss. 31–42, Nis. 2022, [çevrimiçi]. Erişim adresi: 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 (01 Nisan 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, vd. “Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I”. Turkish Journal of Science, c. 7, sy 1, Nisan 2022, ss. 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]. 01 Nisan 2022;7(1):31-42. Erişim adresi: https://izlik.org/JA84BX35HL