KaydedilenlerDerginizi ekleyin

Dergiler / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2018 / Cilt: 8 Sayı: 2

Euclidean Curves with Incompressible Canonical Vector Field

Kadri Arslan(ULUDAĞ ÜNİVERSİTESİ)
Yılmaz Aydın(ULUDAĞ ÜNİVERSİTESİ)
Eray Demirbaş(ULUDAĞ ÜNİVERSİTESİ)
Aziz Yazla(ULUDAĞ ÜNİVERSİTESİ)
Sayfa
70–82
Yayın Tarihi
2018-12-28
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Further we obtain some results of the Euclidean curves with incompressible canonical vector fields in -dimensional Euclidean space E 4 .

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present study we consider Euclidean curves with incompressible canonical vector fields.
📊
Temel Bulgular & Veri:We investigate such curves in terms of their curvature functions.
💡
Sonuç & Katkı:Further we obtain some results of the Euclidean curves with incompressible canonical vector fields in -dimensional Euclidean space E 4 .
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Generalized helix · Salkowski curve · Regular curve

Abstract

In the present study we consider Euclidean curves with incompressible canonical vector fields. We investigate such curves in terms of their curvature functions. Recently, B.Y. Chen gave classification of plane curves with incompressible canonical vector fields. For higher dimensional case we gave a complete classification of Euclidean space curves with incompressible canonical vector fields. Further we obtain some results of the Euclidean curves with incompressible canonical vector fields in -dimensional Euclidean space E 4 .

🔖

Bu Makaleye Atıf Yap

Arslan, K., Aydın, Y., Demirbaş, E., Yazla, A. (2018). Euclidean Curves with Incompressible Canonical Vector Field. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 8 Sayı: 2, 70–82. https://ajindex.com/articles/1352314

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (9)

  1. A. T. Ali, Spacelike Salkowski and anti-Salkowski curves with timelike principal normal in Minkowski 3-space, Mathematica Aeterna, 1(2011), 201 - 210.
  2. B. Y. Chen, Euclidean submanifolds with incompressible canonical vector field, arXiv:1801.07196v3 [math.DG] 29 Jan 2018.
  3. J. W. Bruce, P. J. Giblin, Curves and Singularities, A Geometrical Introduction to Singularity Theory, Second edition, Cambridge University Press, Cambridge, 1992.
  4. H. Gluck, Higher curvatures of curves in Euclidean space, Am. Math. Monthly 73 (1966), 699-704.
  5. F. Klein and S. Lie, Uber diejenigen ebenenen kurven welche durch ein geschlossenes system von einfach unendlich vielen vartauschbaren linearen Transformationen in sich übergehen, Math. Ann. 4 (1871), 50-84.
  6. J. Monterde, Curves with constant curvature ratios, Bull. Mexican Math. Soc. Ser. 3A 13(1) (2007), 177-186.
  7. G. Öztürk, K. Arslan and H. H. Hacisalihoglu, A characterization of ccr-curves in R^{m}, Proc. Estonian Acad. Sci. 57(4) (2008), 217-224.
  8. G. Öztürk, S. Gürpınar and K. Arslan, A New Characterization of Curves in Euclidean 4-Space E⁴, Bull. Acad. Stiinte a Republicii Moldova Mathematica, 83(2017), 39-50.
  9. E. Salkowski, Zur transformation von raumkurven, Math. Ann. 66(4) (1909), 517-557.