Araştırma Makalesi

VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE

Cilt: 4 Sayı: 1 31 Ocak 2021
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VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE

Öz

In this article, quaternionic curves in 3-dimensional Euclidean space have examined. Firstly, algebraic properties of quaternions and their basic definitions and theorems are given. Later, some characterizations of the quaternionic Mannheim curves in the 3-dimensional Euclidean space have obtained.

Anahtar Kelimeler

Kaynakça

  1. Referans1 J. P. Ward, Quaternions and Cayley Numbers, Kluwer Academic Publishers, Boston/London, (1997).
  2. Referans2 K. Bharathi and M. Nagaraj, Quaternion Valued Function of a Real Variable Serret-Frenet Formulae, Indian Journal of Pure and Applied Mathematics, 18 (6), 507--511, (1987).
  3. Referans3 A.Tuna, Serret Frenet formulae for Quaternionic Curves in Semi Euclidean Space, Master Thesis, Süleyman Demirel University, Graduate School of Natural and Applied Science, Isparta Turkey,(2002).
  4. Referans4 A. C. Çöken and A. Tuna, On the quaternionic inclined curves in the semi-Euclidean space E24 , Applied Mathematics and Computation, 155 (2), 373-- 389, (2004).
  5. Referans5 F. Kahraman, I. Gök, and H. H. Hacısalihoglu, On the quaternionic B2 slant helices in the semi- Euclidean space E24, Applied Mathematics and Computation, 218(11) , 6391--6400, (2012).
  6. Referans6 H. Liu and F. Wang, Mannheim partner curves in 3-space, J. Geom., 88, 120--126, (2008).
  7. Referans7 O. Z. Okuyucu, Characterizations of the quaternionic Mannheim curves in Euclidean space E4, International Journal of Mathematical Combinatorics, 2:44-53, (2013).
  8. Referans8 R. Blum, A remarkable class of Mannheim-curves, Canadian Mathematical Bulletin, 9:223-228, (1966).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Ocak 2021

Gönderilme Tarihi

8 Ocak 2021

Kabul Tarihi

20 Şubat 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 4 Sayı: 1

Kaynak Göster

APA
Has, A., & Yılmaz, B. (2021). VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE. Journal of Universal Mathematics, 4(1), 62-72. https://doi.org/10.33773/jum.856869
AMA
1.Has A, Yılmaz B. VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE. JUM. 2021;4(1):62-72. doi:10.33773/jum.856869
Chicago
Has, Aykut, ve Beyhan Yılmaz. 2021. “VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE”. Journal of Universal Mathematics 4 (1): 62-72. https://doi.org/10.33773/jum.856869.
EndNote
Has A, Yılmaz B (01 Ocak 2021) VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE. Journal of Universal Mathematics 4 1 62–72.
IEEE
[1]A. Has ve B. Yılmaz, “VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE”, JUM, c. 4, sy 1, ss. 62–72, Oca. 2021, doi: 10.33773/jum.856869.
ISNAD
Has, Aykut - Yılmaz, Beyhan. “VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE”. Journal of Universal Mathematics 4/1 (01 Ocak 2021): 62-72. https://doi.org/10.33773/jum.856869.
JAMA
1.Has A, Yılmaz B. VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE. JUM. 2021;4:62–72.
MLA
Has, Aykut, ve Beyhan Yılmaz. “VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE”. Journal of Universal Mathematics, c. 4, sy 1, Ocak 2021, ss. 62-72, doi:10.33773/jum.856869.
Vancouver
1.Aykut Has, Beyhan Yılmaz. VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE. JUM. 01 Ocak 2021;4(1):62-7. doi:10.33773/jum.856869

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