Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2021, Cilt: 4 Sayı: 4, 258 - 263, 01.12.2021

Mahmut Akyiğit Önder Gökmen Yıldız

https://doi.org/10.33401/fujma.992917
Cited By: 2

Öz

Kaynakça

  • [1] S. Honda, M. Takahashi, Framed curves in the Euclidean space, Adv. Geom., 16 (2016), 265-276.
  • [2] Y. Wang, D. Pei, R. Gao, Generic properties of framed rectifying curves, Mathematics, 7(1) (2019), 37.
  • [3] A. Kızılay, Ö G. Yıldız, O. Z. Okuyucu, Evolution of quaternionic curve in the semi-Euclidean space E4 2 , Math. Meth. Appl. Sci., 44 (2021), 7577–7587, https://doi.org/10.1002/mma.6374.
  • [4] B. Dog˘an Yazıcı, S. Özkaldı Karakuş, M. Tosun, Framed normal curves in Euclidean space, Tbilisi Math. J., (2020), 27-37.
  • [5] B. Dog˘an Yazıcı, S. Özkaldı Karakuş, M. Tosun, On the classification of framed rectifying curves in Euclidean space, Math. Meth. Appl. Sci., (2021), 1-10, https://doi.org/10.1002/mma.7561.
  • [6] C. Özyurt, Singular curves and their properties, Master Thesis, Ankara University, 2021.
  • [7] S. Honda, T. Masatomo, Evolutes of framed immersions in the Euclidean space, Hokkaido Uni. Preprint Ser. Math., 1095 (2016), 1-24.
  • [8] T. Fukunaga, M. Takahashi, Existence and uniqueness for Legendre curves, J. Geom. 104 (2013), 297-307.
  • [9] K. Eren, Ö . G. Yıldız, M. Akyiğit, Tubular surfaces associated with framed base curves in Euclidean 3-space, Math. Meth. Appl. Sci., (2021), 1- 9, https://doi.org/10.1002/mma.7590.
  • [10] B. Y. Chen, When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Monthly, 110 (2003), 147-152.
  • [11] K. Ilarslan, E. Nesovic, Timelike and null normal curves in Minkowski space E3_1 , Indian J. Pure Appl. Math., 35(7) (2004), 881-888.
  • [12] K. Ilarslan, Spacelike Normal Curves in Minkowski Space E3_1 , Turk. J. Math., 29 (2005), 53-63.
  • [13] K. Ilarslan, E. Nesovic, Spacelike and timelike normal curves in Minkowski space-time, Publ. Inst. Math. Belgrade, 85(99) (2009), 111-118.
  • [14] F. Gökçelik, Z. Bozkurt, ˙I. Gök, F. N. Ekmekçi, Y. Yaylı Parallel transport frame in 4-dimensional Euclidean space, Caspian J. Math. Sci., 3 (2014), 91- 103.

On the Framed Normal Curves in Euclidean 4-space

Yıl 2021, Cilt: 4 Sayı: 4, 258 - 263, 01.12.2021

Mahmut Akyiğit Önder Gökmen Yıldız

https://doi.org/10.33401/fujma.992917
Cited By: 2

Öz

In this paper, we introduce the adapted frame of framed curves and we give the relations between the adapted frame and Frenet type frame of the framed curve in four-dimensional Euclidean space. Moreover, we define the framed normal curves in four-dimensional Euclidean space. We obtain some characterizations of framed normal curves in terms of their framed curvature functions. Furthermore, we give the necessary and sufficient condition for a framed curve to be a framed normal curve.


Anahtar Kelimeler

Framed curves Normal curves Singular points

Kaynakça

  • [1] S. Honda, M. Takahashi, Framed curves in the Euclidean space, Adv. Geom., 16 (2016), 265-276.
  • [2] Y. Wang, D. Pei, R. Gao, Generic properties of framed rectifying curves, Mathematics, 7(1) (2019), 37.
  • [3] A. Kızılay, Ö G. Yıldız, O. Z. Okuyucu, Evolution of quaternionic curve in the semi-Euclidean space E4 2 , Math. Meth. Appl. Sci., 44 (2021), 7577–7587, https://doi.org/10.1002/mma.6374.
  • [4] B. Dog˘an Yazıcı, S. Özkaldı Karakuş, M. Tosun, Framed normal curves in Euclidean space, Tbilisi Math. J., (2020), 27-37.
  • [5] B. Dog˘an Yazıcı, S. Özkaldı Karakuş, M. Tosun, On the classification of framed rectifying curves in Euclidean space, Math. Meth. Appl. Sci., (2021), 1-10, https://doi.org/10.1002/mma.7561.
  • [6] C. Özyurt, Singular curves and their properties, Master Thesis, Ankara University, 2021.
  • [7] S. Honda, T. Masatomo, Evolutes of framed immersions in the Euclidean space, Hokkaido Uni. Preprint Ser. Math., 1095 (2016), 1-24.
  • [8] T. Fukunaga, M. Takahashi, Existence and uniqueness for Legendre curves, J. Geom. 104 (2013), 297-307.
  • [9] K. Eren, Ö . G. Yıldız, M. Akyiğit, Tubular surfaces associated with framed base curves in Euclidean 3-space, Math. Meth. Appl. Sci., (2021), 1- 9, https://doi.org/10.1002/mma.7590.
  • [10] B. Y. Chen, When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Monthly, 110 (2003), 147-152.
  • [11] K. Ilarslan, E. Nesovic, Timelike and null normal curves in Minkowski space E3_1 , Indian J. Pure Appl. Math., 35(7) (2004), 881-888.
  • [12] K. Ilarslan, Spacelike Normal Curves in Minkowski Space E3_1 , Turk. J. Math., 29 (2005), 53-63.
  • [13] K. Ilarslan, E. Nesovic, Spacelike and timelike normal curves in Minkowski space-time, Publ. Inst. Math. Belgrade, 85(99) (2009), 111-118.
  • [14] F. Gökçelik, Z. Bozkurt, ˙I. Gök, F. N. Ekmekçi, Y. Yaylı Parallel transport frame in 4-dimensional Euclidean space, Caspian J. Math. Sci., 3 (2014), 91- 103.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Mahmut Akyiğit 0000-0002-8398-365X

Önder Gökmen Yıldız 0000-0002-2760-1223

Yayımlanma Tarihi 1 Aralık 2021
Gönderilme Tarihi 8 Eylül 2021
Kabul Tarihi 8 Kasım 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 4 Sayı: 4

Kaynak Göster

APA Akyiğit, M., & Yıldız, Ö. G. (2021). On the Framed Normal Curves in Euclidean 4-space. Fundamental Journal of Mathematics and Applications, 4(4), 258-263. https://doi.org/10.33401/fujma.992917
AMA Akyiğit M, Yıldız ÖG. On the Framed Normal Curves in Euclidean 4-space. FUJMA. Aralık 2021;4(4):258-263. doi:10.33401/fujma.992917
Chicago Akyiğit, Mahmut, ve Önder Gökmen Yıldız. “On the Framed Normal Curves in Euclidean 4-Space”. Fundamental Journal of Mathematics and Applications 4, sy. 4 (Aralık 2021): 258-63. https://doi.org/10.33401/fujma.992917.
EndNote Akyiğit M, Yıldız ÖG (01 Aralık 2021) On the Framed Normal Curves in Euclidean 4-space. Fundamental Journal of Mathematics and Applications 4 4 258–263.
IEEE M. Akyiğit ve Ö. G. Yıldız, “On the Framed Normal Curves in Euclidean 4-space”, FUJMA, c. 4, sy. 4, ss. 258–263, 2021, doi: 10.33401/fujma.992917.
ISNAD Akyiğit, Mahmut - Yıldız, Önder Gökmen. “On the Framed Normal Curves in Euclidean 4-Space”. Fundamental Journal of Mathematics and Applications 4/4 (Aralık 2021), 258-263. https://doi.org/10.33401/fujma.992917.
JAMA Akyiğit M, Yıldız ÖG. On the Framed Normal Curves in Euclidean 4-space. FUJMA. 2021;4:258–263.
MLA Akyiğit, Mahmut ve Önder Gökmen Yıldız. “On the Framed Normal Curves in Euclidean 4-Space”. Fundamental Journal of Mathematics and Applications, c. 4, sy. 4, 2021, ss. 258-63, doi:10.33401/fujma.992917.
Vancouver Akyiğit M, Yıldız ÖG. On the Framed Normal Curves in Euclidean 4-space. FUJMA. 2021;4(4):258-63.

Cited By

A New Insight on Rectifying-Type Curves in Four-Dimensional Euclidean Space
International Electronic Journal of Geometry
https://doi.org/10.36890/iejg.1291893
The developable surfaces with pointwise 1-type Gauss map of Frenet type framed base curves in Euclidean 3-space
AIMS Mathematics
https://doi.org/10.3934/math.2023115

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