Öz
Kaynakça
- Ali, A. T., López, R., Turgut, M., k-type partially null and pseudo null slant helices in Minkowski 4-space, Math.Commun., 17 (2012), 93-103.
- Abdel-Aziz, H.S., Saad, M.K. Abdel-Salam, A.A., Equiform Differential Geometry of Curves in Minkowski Space-Time, arXiv.org/math/ arXiv:1501.02283.
- İlarslan, K., Nešović, E., Spacelike and Timelike Normal Curves in Minkowski Space-Time, Publications de L'Institut Mathematique, Nouvelle série, tome 85(99) (2009), 111-118.
- Aydın, M.E., Ergüt, M., The equiform differential geometry of curves in 4-dimensional Galilean space G4, Stud. Univ. Babe¸ s-Bolyai Math., 58(3) (2013), 399--406.
- Turgut, M., Yilmaz, S., Characterizations of Some Special Space-like Curves in Minkowski Space-time, International J.Math. Combin., 2 (2008), 17-22.
- Yılmaz, M.Y., Bektaş, M., Slant helices of (k,m)-type in E⁴ , Acta Univ. Sapientiae, Mathematica, 10(2) (2018), 395--401.
- Yilmaz, S., Turgut, M., On the characterizations of inclined curves in Minkowski space-time E₁⁴, International Mathematical Forum, 3(16) (2008), 783-792.
Öz
In our study, we establish k-type helices and (k,m)-type slant helices for equiform differential geometry of spacelike curves in 4-dimensional Minkowski space E₁⁴ and give some new characterizations for these helices. In this paper, we obtain characterizations equiform differential geometry of spacelike curves in 4-dimensional Minkowski space E$_{1}^{4}$. We establish $k$-type helices for this curves. Also we obtain $(k,m)$-type slant helices for equiform differential geometry of spacelike curves in Minkowski space-time.
Anahtar Kelimeler
Equiform Frenet Frame k-type helices (k m)-type slant helices
Kaynakça
- Ali, A. T., López, R., Turgut, M., k-type partially null and pseudo null slant helices in Minkowski 4-space, Math.Commun., 17 (2012), 93-103.
- Abdel-Aziz, H.S., Saad, M.K. Abdel-Salam, A.A., Equiform Differential Geometry of Curves in Minkowski Space-Time, arXiv.org/math/ arXiv:1501.02283.
- İlarslan, K., Nešović, E., Spacelike and Timelike Normal Curves in Minkowski Space-Time, Publications de L'Institut Mathematique, Nouvelle série, tome 85(99) (2009), 111-118.
- Aydın, M.E., Ergüt, M., The equiform differential geometry of curves in 4-dimensional Galilean space G4, Stud. Univ. Babe¸ s-Bolyai Math., 58(3) (2013), 399--406.
- Turgut, M., Yilmaz, S., Characterizations of Some Special Space-like Curves in Minkowski Space-time, International J.Math. Combin., 2 (2008), 17-22.
- Yılmaz, M.Y., Bektaş, M., Slant helices of (k,m)-type in E⁴ , Acta Univ. Sapientiae, Mathematica, 10(2) (2018), 395--401.
- Yilmaz, S., Turgut, M., On the characterizations of inclined curves in Minkowski space-time E₁⁴, International Mathematical Forum, 3(16) (2008), 783-792.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 31 Aralık 2020 |
| Gönderilme Tarihi | 7 Şubat 2020 |
| Kabul Tarihi | 15 Mayıs 2020 |
| Yayımlandığı Sayı | Yıl 2020 Cilt: 69 Sayı: 2 |
Kaynak Göster
Cited By
On the pole indicatrix curve of the spacelike Salkowski curve with timelike principal normal in Lorentzian 3-space
Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi
https://doi.org/10.17714/gumusfenbil.1176243
Lorentz-Darboux Çatısına Göre k ve ( , ) k m − tip Slant Helisler
Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
https://doi.org/10.21597/jist.1205226
(k,m)-type Slant Helices According to Parallel Transport Frame in Euclidean 4-Space
Turkish Journal of Mathematics and Computer Science
https://doi.org/10.47000/tjmcs.858489
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
