Research Article

Twisted Surfaces in the Pseudo-Galilean Space

Volume: 5 Number: 4 October 1, 2017
  • Ahmet Kazan *
  • H. Bayram Karadag
EN

Twisted Surfaces in the Pseudo-Galilean Space

Abstract

In this paper, we construct the twisted surfaces according to the supporting plane and type of rotations in pseudo-Galilean space G31. Also, we find the Gaussian curvatures and mean curvatures of the different types of these twisted surfaces and draw some figures for these twisted surfaces.

Keywords

References

  1. C. Baikoussis, D.E. Blair; On the Gauss map of ruled surfaces, Glasgow Math. J. 34, 355-359, 1992.
  2. S. Cengiz, E. B. Koç Öztürk and U. Öztürk; Motions of Curves in the Pseudo-Galilean Space G_3^1, Mathematical Problems in Engineering, http://dx.doi.org/10.1155/2015/150685, 2015.
  3. D. Cervone; A tight polyhedral immersion of the twisted surface of Euler characteristic -3, Topology 40, 571 – 584, 2001.
  4. B. Y. Chen, M. Choi, Y.H. Kim; Surfaces of revolution with pointwise 1-type Gauss map, J. Korean Math. Soc. 42(3), 447-455, 2005.
  5. B. Y. Chen, S. Ishikawa; On classification of some surfaces of revolution of finite type, Tsukuba J. Math. 17, 287-298, 1993.
  6. B. Divjak; Curves in Pseudo-Galilean geometry, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 41, 117-128, 1998.
  7. B. Divjak and Z. M. Sipus; Some special surfaces in the pseudo-Galilean space, Acta Math. Hungar. 118, 209–226, 2008.
  8. W. Goemans and I. V. de Woestyne; Twisted surfaces in Euclidean and Minkowski 3-space, Pure and Applied Differential Geometry, 143–151, 2013.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ahmet Kazan * This is me
Türkiye

H. Bayram Karadag This is me
Türkiye

Publication Date

October 1, 2017

Submission Date

August 3, 2016

Acceptance Date

-

Published in Issue

Year 2017 Volume: 5 Number: 4

APA
Kazan, A., & Karadag, H. B. (2017). Twisted Surfaces in the Pseudo-Galilean Space. New Trends in Mathematical Sciences, 5(4), 72-79. https://izlik.org/JA65NH29UC
AMA
1.Kazan A, Karadag HB. Twisted Surfaces in the Pseudo-Galilean Space. New Trends in Mathematical Sciences. 2017;5(4):72-79. https://izlik.org/JA65NH29UC
Chicago
Kazan, Ahmet, and H. Bayram Karadag. 2017. “Twisted Surfaces in the Pseudo-Galilean Space”. New Trends in Mathematical Sciences 5 (4): 72-79. https://izlik.org/JA65NH29UC.
EndNote
Kazan A, Karadag HB (October 1, 2017) Twisted Surfaces in the Pseudo-Galilean Space. New Trends in Mathematical Sciences 5 4 72–79.
IEEE
[1]A. Kazan and H. B. Karadag, “Twisted Surfaces in the Pseudo-Galilean Space”, New Trends in Mathematical Sciences, vol. 5, no. 4, pp. 72–79, Oct. 2017, [Online]. Available: https://izlik.org/JA65NH29UC
ISNAD
Kazan, Ahmet - Karadag, H. Bayram. “Twisted Surfaces in the Pseudo-Galilean Space”. New Trends in Mathematical Sciences 5/4 (October 1, 2017): 72-79. https://izlik.org/JA65NH29UC.
JAMA
1.Kazan A, Karadag HB. Twisted Surfaces in the Pseudo-Galilean Space. New Trends in Mathematical Sciences. 2017;5:72–79.
MLA
Kazan, Ahmet, and H. Bayram Karadag. “Twisted Surfaces in the Pseudo-Galilean Space”. New Trends in Mathematical Sciences, vol. 5, no. 4, Oct. 2017, pp. 72-79, https://izlik.org/JA65NH29UC.
Vancouver
1.Ahmet Kazan, H. Bayram Karadag. Twisted Surfaces in the Pseudo-Galilean Space. New Trends in Mathematical Sciences [Internet]. 2017 Oct. 1;5(4):72-9. Available from: https://izlik.org/JA65NH29UC