ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE

Cilt: 1 Sayı: 1 8 Ocak 2016
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ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE

Öz

In this paper, first we give a characterization of spacelike inclined curves according to the type-2 Bishop frame in Minkowski 3-space, and then define rectifying curves of  spacelike curves according to the type-2 Bishop frame in Minkowski 3-space as their position vectors always lie in the orthogonal complement  of their vector field . Moreover we characterize Bertrand curves in the same space via the new frame. In particular, we study Mannheim partner curves according to type-2 Bishop frame in  and express such curves in terms of their curvature functions.

Anahtar Kelimeler

Kaynakça

  1. K. Ilarslan, E. Nesovic, Some characterizations of rectifying curves in the Euclidean space E4, Turk J Math 32(1), 21-30, 2008.
  2. S. Yılmaz, Y. Ünlütürk, A note on spacelike curves according to type-2 Bishop frame in Minkowski 3-space , Int Jour Pure Appl Math 103(2), 321-332, 2015.
  3. B.Y. Chen, When does the position vector of a space curve always lie in its rectifying plane?, Amer Math Monthly 110, 147-152, 2003.
  4. H.H. Hacısalihoğlu, A new characterization for inclined curves by the help of spherical representations, Int Elec Jour of Geometry 2(2), 71–75, 2009.
  5. M. Babaarslan, Y. Yayli, The characterizations of constant slope surfaces and Bertrand curves, Int J Phys Sci 6, 1868–1875, 2011.
  6. S. Kichenassamy, The relativistic motion of charged particles in an electromagnetic field, Annales de la Fondation Louis de Broglie, 28 (3-4), 2003.
  7. A Mağden, Characterizations of some special curves in , PhD Dissertation, Ataturk University, 1990.
  8. M. Turgut, J.L. Lopez-Bonilla, and S. Yılmaz, On Frenet-Serret invariants of non-null curves in Lorentzian space L5 . World Academy of Science, Engineering and Technology, 3, 7–27, 2009.

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
Ünlütürk, Y. (2016). ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE. Kirklareli University Journal of Engineering and Science, 1(1), 78-93. https://izlik.org/JA98MK72KY
AMA
1.Ünlütürk Y. ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE. KLUJES. 2016;1(1):78-93. https://izlik.org/JA98MK72KY
Chicago
Ünlütürk, Yasin. 2016. “ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE”. Kirklareli University Journal of Engineering and Science 1 (1): 78-93. https://izlik.org/JA98MK72KY.
EndNote
Ünlütürk Y (01 Ocak 2016) ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE. Kirklareli University Journal of Engineering and Science 1 1 78–93.
IEEE
[1]Y. Ünlütürk, “ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE”, KLUJES, c. 1, sy 1, ss. 78–93, Oca. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA98MK72KY
ISNAD
Ünlütürk, Yasin. “ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE”. Kirklareli University Journal of Engineering and Science 1/1 (01 Ocak 2016): 78-93. https://izlik.org/JA98MK72KY.
JAMA
1.Ünlütürk Y. ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE. KLUJES. 2016;1:78–93.
MLA
Ünlütürk, Yasin. “ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE”. Kirklareli University Journal of Engineering and Science, c. 1, sy 1, Ocak 2016, ss. 78-93, https://izlik.org/JA98MK72KY.
Vancouver
1.Yasin Ünlütürk. ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE. KLUJES [Internet]. 01 Ocak 2016;1(1):78-93. Erişim adresi: https://izlik.org/JA98MK72KY