EN
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
- Referans1 J. P. Ward, Quaternions and Cayley Numbers, Kluwer Academic Publishers, Boston/London, (1997).
- 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).
- 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).
- 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).
- 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).
- Referans6 H. Liu and F. Wang, Mannheim partner curves in 3-space, J. Geom., 88, 120--126, (2008).
- Referans7 O. Z. Okuyucu, Characterizations of the quaternionic Mannheim curves in Euclidean space E4, International Journal of Mathematical Combinatorics, 2:44-53, (2013).
- 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
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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