Journals / Sakarya University Journal of Science / 2018 / Cilt: 22 Sayı: 6

Timelike Factorable Surfaces in Minkowski Space-Time

Pages
1939–1946
Publication Date
2018-12-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We calculate Gaussian and mean curvatures of these surfaces and classify timelike flat and minimal factorable surfaces in Minkowski space-time.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we discuss timelike factorable surfaces in Minkowski 4-space E_1^4.
📊
Key Findings & Data:In this study, we discuss timelike factorable surfaces in Minkowski 4-space E_1^4.
💡
Conclusion & Impact:We calculate Gaussian and mean curvatures of these surfaces and classify timelike flat and minimal factorable surfaces in Minkowski space-time.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:factorable surface · timelike surface · Minkowski 4-space

Abstract

In this study, we discuss timelike factorable surfaces in Minkowski 4-space E_1^4. We calculate Gaussian and mean curvatures of these surfaces and classify timelike flat and minimal factorable surfaces in Minkowski space-time.

🔖

Cite This Article

BÜYÜKKÜTÜK, S. (2018). Timelike Factorable Surfaces in Minkowski Space-Time. Sakarya University Journal of Science, Cilt: 22 Sayı: 6, 1939–1946. https://ajindex.com/articles/942125

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  1. B.Y. Chen and J. Van der Veken, “Marginally trapped surfaces in Lorentzian space forms with positive relative nullity,” Class. Quantum Grav., vol. 24, pp. 551–563, 2007
  2. G. Ganchev, “Timelike surfaces with zero mean curvature in Minkowski space,” Israel J. of Math., vol. 196, pp. 413–433, 2013
  3. B. Bektaş, U. Dursun, “Timelike rotational surface of elliptic, hyperbolic and parabolic types in Minkowski space with pointwise type Gauss map,” Filomat, vol. 29, no. 3, pp. 381–392, 2015
  4. B. Y. Chen, “Geometry of Submanifolds,” Marcel Dekker, NewYork, 1973
  5. I. Van de Woestyne, “A new characterization of helicoids,” Geometry and Topology of Submanifolds V., World Sci. Publ. River Edge, NJ, 1993
  6. I. Van de Woestyne, “Minimal homothetical hypersurfaces of a semi-Euclidean space,” Results Math, vol. 27, no. 3, pp. 333–342, 1995
  7. R. Lopez, M. Moruz, “Translation and homothetical surfaces in Euclidean spaces with constant curvature,” J. Korean Math. Soc., vol. 52, no. 3, pp. 523–535, 2015
  8. H. Meng, H. Liu, “Factorable surfaces in Minkowski space,” Bull. Korean Math. Soc., vol. 46, no. 1, pp. 155–169, 2009
  9. Y. Yu, H. Liu, “The factorable minimal surfaces,” Proceedings of The Eleventh International Workshop on Diff. Geom., vol. 11, pp. 33–39, 2007
  10. Y. A. Aminov, “Surfaces in with a Gaussian curvature coinciding with a Gaussian torsion up to sign,” Mathematical Notes, vol. 56, pp. 5–6, 1994
  11. B. Bulca, K. Arslan, “Surfaces given with the Monge patch in,” Journal of Mathematical Physics, Analysis, Geometry, vol. 9, no. 4, pp. 435–447, 2013
  12. K. Arslan, B. K. Bayram, B. Bulca, G. Öztürk, “Generalized rotational surfaces in,” Results in Mathematics, vol. 61, no. 3-4, pp. 315-327, 2012
  13. K. Arslan, B. K. Bayram, B. Bulca, Y.H. Kim, C. Murathan, G. Öztürk, “Rotational embeddings in with pointwise 1-type Gauss map, ” Turk J. Math., vol. 35, pp. 493-499, 2011
  14. K. Arslan, B. Bulca, B. K. Bayram, Y. H. Kim, C. Murathan, G. Öztürk, “Tensor product surfaces with pointwise 1-type Gauss map,” Bull. Korean Math. Soc., vol. 48, no. 3, pp. 601–609, 2011
  15. K. Arslan, B. K. Bayram, B. Bulca, Y.H. Kim, C. Murathan, G. Öztürk, “ Vranceanu surface in with pointwise 1-type Gauss map, ” Indian J. Pure Appl. Math., vol. 42, no. 1, pp. 41-51, 2011
  16. E. İyigün, K. Arslan, G. Öztürk, “ A characterization of Chen surfaces in,” Bull. Malays. Math. Soc., vol. 31, no. 2, pp. 209-215, 2008.