Araştırma Makalesi

Generalized Quaternions Serret-Frenet and Bishop Frames

Sayı: 029 12 Aralık 2012
Dumlupınar Üniversitesi Fen Bilimleri Enstitüsü Dergisi Kapak
Dumlupınar Üniversitesi Fen Bilimleri Enstitüsü Dergisi
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Generalized Quaternions Serret-Frenet and Bishop Frames

Öz

Serret-Frenet and Parallel-Transport frame are produced with the help of the generalized quaternions again by the method in [4].

Anahtar Kelimeler

Kaynakça

  1. [1] Inoguchi, J., ”Timelike surfaces of constant mean curvature in Minkowski 3- space”, Tokyo J. Math. 21(1) 141-152, 1998.
  2. [2] Niven, I., ”The roots of a quaternion”, Amer. Math. Monthly 449(6) 386-388, 1942.
  3. [3] Özdemir, M., Ergin A. A., ”Rotations with timelike quaternions in Minkowski 3-space”, J. Geom. Phys. 56 322-336, 2006
  4. [4] Hanson, A. J., ”Quaternion Frenet Frames: Making Optimal Tubes and Ribbons from Curves”, Tech. Rep. 407, Indiana Unv. Computer Science Dep., 1994.
  5. [5] Eisenhart, L. P., ”A Treatise on the Differential Geometry of Curves and Surfaces”, Dover, New York, 1960, Originally published in 1909.
  6. [6] Flanders, H., Differential Forms with Applications to Physical Sciences”, Academic Press, New York, 1963.
  7. [7] Gray, A., ”Modern Differential Geometry of Curves and Surfaces”, CRC Press, Inc., Boca Raton, FL, 1993.
  8. [8] Struik, D. J., ”Lectures on Classical Differential Geometry”, Addison-Wesley, 1961

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Yasemin Kemer Bu kişi benim

Yayımlanma Tarihi

12 Aralık 2012

Gönderilme Tarihi

15 Ağustos 2012

Kabul Tarihi

15 Kasım 2012

Yayımlandığı Sayı

Yıl 2012 Sayı: 029

IZ

https://izlik.org/JA52UX85AH

Kaynak Göster

RIS / Bibtex
APA
Ata, E., Kemer, Y., & Atasoy, A. (2012). Generalized Quaternions Serret-Frenet and Bishop Frames. Journal of Science and Technology of Dumlupınar University, 029, 29-38. https://izlik.org/JA52UX85AH
AMA
1.Ata E, Kemer Y, Atasoy A. Generalized Quaternions Serret-Frenet and Bishop Frames. JSR-A. 2012;(029):29-38. https://izlik.org/JA52UX85AH
Chicago
Ata, Erhan, Yasemin Kemer, ve Ali Atasoy. 2012. “Generalized Quaternions Serret-Frenet and Bishop Frames”. Journal of Science and Technology of Dumlupınar University, sy 029: 29-38. https://izlik.org/JA52UX85AH.
EndNote
Ata E, Kemer Y, Atasoy A (01 Aralık 2012) Generalized Quaternions Serret-Frenet and Bishop Frames. Journal of Science and Technology of Dumlupınar University 029 29–38.
IEEE
[1]E. Ata, Y. Kemer, ve A. Atasoy, “Generalized Quaternions Serret-Frenet and Bishop Frames”, JSR-A, sy 029, ss. 29–38, Ara. 2012, [çevrimiçi]. Erişim adresi: https://izlik.org/JA52UX85AH
ISNAD
Ata, Erhan - Kemer, Yasemin - Atasoy, Ali. “Generalized Quaternions Serret-Frenet and Bishop Frames”. Journal of Science and Technology of Dumlupınar University. 029 (01 Aralık 2012): 29-38. https://izlik.org/JA52UX85AH.
JAMA
1.Ata E, Kemer Y, Atasoy A. Generalized Quaternions Serret-Frenet and Bishop Frames. JSR-A. 2012;:29–38.
MLA
Ata, Erhan, vd. “Generalized Quaternions Serret-Frenet and Bishop Frames”. Journal of Science and Technology of Dumlupınar University, sy 029, Aralık 2012, ss. 29-38, https://izlik.org/JA52UX85AH.
Vancouver
1.Erhan Ata, Yasemin Kemer, Ali Atasoy. Generalized Quaternions Serret-Frenet and Bishop Frames. JSR-A [Internet]. 01 Aralık 2012;(029):29-38. Erişim adresi: https://izlik.org/JA52UX85AH