CHARACTERIZATIONS OF SOME ASSOCIATED AND SPECIAL CURVES TO TYPE-2 BISHOP FRAME IN E^3

Cilt: 1 Sayı: 1 8 Ocak 2016
PDF İndir
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

  1. J. F. Burke, Bertrand curves associated with a pair of curves, Mathematics Magazine. 34(1), 60-62, 1960.
  2. 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 .
  3. S. Yılmaz, M. Turgut, A new version of Bishop frame and an application to spherical images. J Math Anal Appl 371:764-776, 2010.
  4. M. do Carmo, Differential geometry of curves and surfaces, Prentice-Hall, Saddle River, 1976.
  5. B. O’Neill, Elementary differential geometry, Academic Press, New York, 1966.
  6. 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.
  7. G. Canuto, Associated curves and Plücker formulas in Grassmannians , Inventiones Mathematicae , 53 (1) , 77-90, 1979.
  8. 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

-

Yayımlanma Tarihi

8 Ocak 2016

Gönderilme Tarihi

8 Ocak 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2015 Cilt: 1 Sayı: 1

Kaynak Göster

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