KaydedilenlerDerginizi ekleyin

Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 17 Issue: 1

Twisted Surfaces in Semi-Euclidean $4$-Space with Index $2$

Ali Uçum(KIRIKKALE UNİVERSİTY)0000-0003-0172-1531
Kazım İlarslan(KIRIKKALE ÜNİVERSİTESİ)0000-0003-1708-280X
Çetin Camcı(CANAKKALE ONSEKIZ MART UNIVERSITY)0000-0002-0122-559X
Sayfa
—
Yayın Tarihi
2024-04-23
🏛️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)

Also we obtain the family of some special surfaces such as flat surfaces, marginally trapped surfaces.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we consider the twisted surfaces in semi-Euclidean 4-space with index 2.We classify the twisted surface with respect to their spine curve which are non-null or null curves.
📊
Temel Bulgular & Veri:So, we study the geometric properties of these surfaces.
💡
Sonuç & Katkı:Also we obtain the family of some special surfaces such as flat surfaces, marginally trapped surfaces.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Twisted surface · normal curvature tensor · parallel mean curvature vector

Abstract

In this paper, we consider the twisted surfaces in semi-Euclidean 4-space with index 2.We classify the twisted surface with respect to their spine curve which are non-null or null curves. So, we study the geometric properties of these surfaces. Also we obtain the family of some special surfaces such as flat surfaces, marginally trapped surfaces.

🔖

Bu Makaleye Atıf Yap

Uçum, A., İlarslan, K., Camcı, Ç. (2024). Twisted Surfaces in Semi-Euclidean $4$-Space with Index $2$. International Electronic Journal of Geometry, Volume: 17 Issue: 1. https://doi.org/10.36890/iejg.1404366

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. Dede, M., Ekici, C., Goemans,W. and Ünlütürk, Y.: Twisted surfaces with vanishing curvature in Galilean 3-space. Int. J. Geom. Methods Mod.Phys. 15, 1850001 (13 pages)(2018).
  2. Duggal, K. L. and Jin, D. H.: Null curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific Publishing (2007).
  3. Goemans,W. andWoestyne, I. Van de: Twisted surfaces in Euclidean and Minkowski 3-space, Pure and Applied Differential Geometry: J. Vander Veken, I. Van de Woestyne, L. Verstraelen and L. Vrancken (Editors), Shaker Verlag Aachen, Germany, 143-151 (2013).
  4. Goemans, W. and Woestyne, I. Van de: Constant curvature twisted surfaces in Euclidean and Minkowski 3-space. In: Proceedings of theconference ”Riemannian Geometry and Applications to Engineering and Economics-RIGA”, Bucharest, Romania, 117-130 (2014).
  5. Goemans, W. and Woestyne, I. Van de: Twisted surfaces with null rotation axis in Minkowski 3-space. Results. Math. 70, 81-93 (2016).
  6. Goemans,W.: Flat double rotattional surfaces in Euclidean and Lorentz-Minkowski 4-space. Publications de L’Institut Mathematique, Nouvellesérie, tome 103(117), 61–68(2018).
  7. Gray, A., Abbena, E., Salamon S. (eds.): Modern Differential Geometry of Curves and Surfaces with Mathematica. Chapman & Hall/CRC,Boca Raton (2006).
  8. Grbovic, M., Nešovic, E. and Panti´c, A.: On the second kind twisted surfaces in Minkowski 3-space. Int. Electron. J. Geom. 8(2), 9–20(2015).
  9. Inoguchi, J. and Lee, S.: Null curves in Minkowski 3-space Int. Electron. J. Geom. 1 (2),40-83(2008).
  10. Kazan, A. and Karada˘ g, H.B.:Twisted surfaces in the Pseudo-Galilean space. New Trends Math. Sci. 5, 72–79 (2017).
  11. Kuhnel, W.: Differential geometry: curves-surfaces-manifolds, Braunschweig, Wiesbaden, (1999).
  12. Lopez, R.: Differential geometry of curves and surfaces in Lorentz-Minkowski space. Int. Electron. J. Geom. 7 (1),44-107 (2014).
  13. Moore, C. L. E.: Surfaces of rotation in a space of four dimensions. Ann. of Math. 21(2), 81–93 (1919).
  14. O’Neill, B.: Semi-Riemannian Geometry. Academic Press, London (1983).
  15. Stanilov, G., and Slavova, G.: Classification of some twisted surfaces and power series of such surfaces. Comptes Rendus de l’Academie Bulgaredes Sciences, 59(6),593-600 (2006).
  16. Walrave, J.: Curves and surfaces in Minkowski space, Doctoral thesis, K.U. Leuven, Faculty of Science, Leuven (1995).