EN
CHARACTERIZATIONS OF SOME ASSOCIATED AND SPECIAL CURVES TO TYPE-2 BISHOP FRAME IN E^3
Öz
In this paper, we investigate associated curves according to type-2 Bishop frame in E^3. In addition, necessary and sufficient conditions for a curve to be a regular one are studied to the mentioned frame. Finally we give characterization of the are length of spherical indicatrice and inclined curve using harmonic curvature.
Anahtar Kelimeler
Kaynakça
- J. F. Burke, Bertrand curves associated with a pair of curves, Mathematics Magazine. 34(1), 60-62, 1960.
- R. Ghedami, Y. Yaylı, A new characterization for inclined curves by the help of spherical representations according to Bishop frame, Intl Jour Pure Appl Math, 74(4) 455-463, 2012 .
- S. Yılmaz, M. Turgut, A new version of Bishop frame and an application to spherical images. J Math Anal Appl 371:764-776, 2010.
- M. do Carmo, Differential geometry of curves and surfaces, Prentice-Hall, Saddle River, 1976.
- B. O’Neill, Elementary differential geometry, Academic Press, New York, 1966.
- S. Yılmaz, Spherical indicators of curves and characterizations of some special curves in four dimensional Lorentzian space L^4 , PhD Dissertation, Dokuz Eylül University, 2001.
- G. Canuto, Associated curves and Plücker formulas in Grassmannians , Inventiones Mathematicae , 53 (1) , 77-90, 1979.
- J.H. Choi, Y.H. Kim, Associated curves of a Frenet curve and their applications. Appl Math Comput, 218: 9116–9124, 2012.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
-
Yazarlar
Yayımlanma Tarihi
8 Ocak 2016
Gönderilme Tarihi
8 Ocak 2016
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2015 Cilt: 1 Sayı: 1
APA
Yılmaz, S. (2016). CHARACTERIZATIONS OF SOME ASSOCIATED AND SPECIAL CURVES TO TYPE-2 BISHOP FRAME IN E^3. Kirklareli University Journal of Engineering and Science, 1(1), 66-77. https://izlik.org/JA84MN55ET
AMA
1.Yılmaz S. CHARACTERIZATIONS OF SOME ASSOCIATED AND SPECIAL CURVES TO TYPE-2 BISHOP FRAME IN E^3. KLUJES. 2016;1(1):66-77. https://izlik.org/JA84MN55ET
Chicago
Yılmaz, Süha. 2016. “CHARACTERIZATIONS OF SOME ASSOCIATED AND SPECIAL CURVES TO TYPE-2 BISHOP FRAME IN E^3”. Kirklareli University Journal of Engineering and Science 1 (1): 66-77. https://izlik.org/JA84MN55ET.
EndNote
Yılmaz S (01 Ocak 2016) CHARACTERIZATIONS OF SOME ASSOCIATED AND SPECIAL CURVES TO TYPE-2 BISHOP FRAME IN E^3. Kirklareli University Journal of Engineering and Science 1 1 66–77.
IEEE
[1]S. Yılmaz, “CHARACTERIZATIONS OF SOME ASSOCIATED AND SPECIAL CURVES TO TYPE-2 BISHOP FRAME IN E^3”, KLUJES, c. 1, sy 1, ss. 66–77, Oca. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA84MN55ET
ISNAD
Yılmaz, Süha. “CHARACTERIZATIONS OF SOME ASSOCIATED AND SPECIAL CURVES TO TYPE-2 BISHOP FRAME IN E^3”. Kirklareli University Journal of Engineering and Science 1/1 (01 Ocak 2016): 66-77. https://izlik.org/JA84MN55ET.
JAMA
1.Yılmaz S. CHARACTERIZATIONS OF SOME ASSOCIATED AND SPECIAL CURVES TO TYPE-2 BISHOP FRAME IN E^3. KLUJES. 2016;1:66–77.
MLA
Yılmaz, Süha. “CHARACTERIZATIONS OF SOME ASSOCIATED AND SPECIAL CURVES TO TYPE-2 BISHOP FRAME IN E^3”. Kirklareli University Journal of Engineering and Science, c. 1, sy 1, Ocak 2016, ss. 66-77, https://izlik.org/JA84MN55ET.
Vancouver
1.Süha Yılmaz. CHARACTERIZATIONS OF SOME ASSOCIATED AND SPECIAL CURVES TO TYPE-2 BISHOP FRAME IN E^3. KLUJES [Internet]. 01 Ocak 2016;1(1):66-77. Erişim adresi: https://izlik.org/JA84MN55ET