Araştırma Makalesi

Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space

Cilt: 4 Sayı: 1 24 Temmuz 2022
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Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space

Öz

The aim of this study is to present normal-like curves with respect to the special case of the ED-frame in Euclidean $4$-space. Furthermore, the relationship between geodesic torsion and curvature is given so that a curve lying on an oriented surface M in $4$-dimensional Euclidean space is congruent to a normal-like curve according to the special case of the ED-frame. Finally, an example of the study is presented.

Anahtar Kelimeler

Kaynakça

  1. Chen, B.Y. (2003). When does the position vector of a space curve always lie in its rectifying plane. The Amer. Math. Monthly, 110(2), 147-152.
  2. İlarslan, K., & Nesovic, E. (2008). Some characterizations of osculating curves in the Euclidean spaces. Demonstratio Mathematica, 41(4), 931-939.
  3. İlarslan, K., & Nesovic, E. (2008). Some characterizations of rectifying curves in the Euclidean space $E^ 4$. Turkish Journal of Mathematics, 32(1), 21-30.
  4. İlarslan, K., & Nesovic, E. (2004). Timelike and null normal curves in Minkowski space $E_1^ {3}$ . Indian Journal of Pure and Applied Mathematics, 35(7), 881-888.
  5. İlarslan, K. (2005). Spacelike normal curves in Minkowski space $E_1^ {3}$ . Turkish Journal of Mathematics, 29(1), 53-63.
  6. İlarslan, K., & Nesovic, E. (2009). Spacelike and timelike normal curves in Minkowski space-time. Publications de l’Institut Mathematique, (105), 111-118.
  7. Bektaş, Ö . (2018). Normal Curves in n-dimensional Euclidean Space. Advances in Difference Equations, 2018(1), 1-12.
  8. Gluck, H. (1966). Higher curvatures of curves in Euclidean space. The Amer. Math. Monthly, 73(7), 699-704.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

24 Temmuz 2022

Gönderilme Tarihi

6 Haziran 2022

Kabul Tarihi

18 Temmuz 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 4 Sayı: 1

Kaynak Göster

APA
Bektaş, Ö. (2022). Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space. Hagia Sophia Journal of Geometry, 4(1), 20-24. https://izlik.org/JA89UY85RR
AMA
1.Bektaş Ö. Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space. HSJG. 2022;4(1):20-24. https://izlik.org/JA89UY85RR
Chicago
Bektaş, Özcan. 2022. “Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space”. Hagia Sophia Journal of Geometry 4 (1): 20-24. https://izlik.org/JA89UY85RR.
EndNote
Bektaş Ö (01 Temmuz 2022) Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space. Hagia Sophia Journal of Geometry 4 1 20–24.
IEEE
[1]Ö. Bektaş, “Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space”, HSJG, c. 4, sy 1, ss. 20–24, Tem. 2022, [çevrimiçi]. Erişim adresi: https://izlik.org/JA89UY85RR
ISNAD
Bektaş, Özcan. “Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space”. Hagia Sophia Journal of Geometry 4/1 (01 Temmuz 2022): 20-24. https://izlik.org/JA89UY85RR.
JAMA
1.Bektaş Ö. Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space. HSJG. 2022;4:20–24.
MLA
Bektaş, Özcan. “Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space”. Hagia Sophia Journal of Geometry, c. 4, sy 1, Temmuz 2022, ss. 20-24, https://izlik.org/JA89UY85RR.
Vancouver
1.Özcan Bektaş. Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space. HSJG [Internet]. 01 Temmuz 2022;4(1):20-4. Erişim adresi: https://izlik.org/JA89UY85RR