KaydedilenlerDerginizi ekleyin

Dergiler / Konuralp Journal of Mathematics / 2016 / Cilt: 4 - Sayı: 1

DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES

Mehmet ÖNDER
Zehra EKİNCİ
Ahmet KÜÇÜK
Sayfa
140–147
Yayın Tarihi
2016-04-01
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)

It is shown that if there exist more than one developable Bertrand o sets of a developable spacelike ruled surface, then the striction curve of reference surface is a general helix in the Minkowski 3-space R3 1.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, some characterizations for developable Bertrand o - sets of a spacelike ruled surface are introduced.
📊
Temel Bulgular & Veri:In this study, some characterizations for developable Bertrand o - sets of a spacelike ruled surface are introduced.
💡
Sonuç & Katkı:It is shown that if there exist more than one developable Bertrand o sets of a developable spacelike ruled surface, then the striction curve of reference surface is a general helix in the Minkowski 3-space R3 1.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Minkowski 3-space · spacelike ruled surface · Bertrand osets.

Abstract

In this study, some characterizations for developable Bertrand o - sets of a spacelike ruled surface are introduced. It is shown that if there exist more than one developable Bertrand o sets of a developable spacelike ruled surface, then the striction curve of reference surface is a general helix in the Minkowski 3-space R3 1.

🔖

Bu Makaleye Atıf Yap

ÖNDER, M., EKİNCİ, Z., KÜÇÜK, A. (2016). DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES. Konuralp Journal of Mathematics, Cilt: 4 - Sayı: 1, 140–147. https://ajindex.com/articles/786694

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (13)

  1. Beem, J.K., Ehrlich, P.E., Global Lorentzian Geometry, Marcel Dekker, New York, 1981
  2. Chen, Y.J., Ravani, B., O set Surface Generation and Contouring in Computer Aided Design, ASME Journal of Mechanisms, Transmissions and Automation in Design, 1987
  3. Farouki, R.T., The Approximation of Non-Degenerate o set Surfaces, Computer Aided Geometric Design, 3(1) (1986) 15-43
  4. Kasap E., Kuruoglu, N., The Bertrand O sets of Ruled Surfaces in R3 1, ACTA MATHEMATICA VIETNAMICA, 31(1) (2006) 39-48
  5. Kim, Y.H., Yoon, W.D., Classi cation of ruled surfaces in Minkowski 3-space, J. of Geom. and Physics, 49(1) (2004) 89-100
  6. Kucuk, A., On the developable timelike trajectory ruled surfaces in Lorentz 3-space R3 1, App. Math. and Comp., 157(2) (2004) 483-489
  7. Kucuk, A., On the developable of Bertrand Trajectory Ruled Surface O sets, Intern. Math. Journal, 4(1) (2003) 57-64
  8. O'Neill, B., Semi Riemannian Geometry with Applications to Relativity, Academic Press, New York-London, 1983. [9]  Onder, M., Ugurlu, H.H., Frenet frames and invariants of timelike ruled surfaces, Ain Shams Eng J. 4(4) (2013) 507-513
  9. Ratcli e, J.G., Foundations of Hyperbolic Manifolds, Springer, (2006)
  10. Ravani, B., Ku, T.S., Bertrand O sets of ruled and developable surfaces, Comp. Aided Geom. Design, 23(2) (1991) 147-152
  11. Ugurlu, H.H.,  Onder, M., On Frenet Frames and Frenet Invariants of Skew Spacelike Ruled Surfaces, VII. Geometry Symposium, Krehir, Turkey, 07-10 July 2009
  12. Ugurlu, H.H., C alskan, A., Darboux Ani Donme Vektorleri ile Spacelike ve Timelike Yuzeyler Geometrisi, Celal Bayar Universitesi Yaynlar, Yayn No: 0006, 2012
  13. Yang, A.T., Kirson Y., Both B., On a Kinematics Theory for Ruled Surface, Proceedings of Fourth World Congress on the Theory of Machines and Mechanisms, Newcastle Upon Tyne, England, 737-742, 1975.