Research Article

New results on helix surfaces in the Minkowski 3-space

Volume: 12 Number: 1 March 27, 2019
EN

New results on helix surfaces in the Minkowski 3-space

Abstract

In this paper, we characterize and classify helix surfaces with principal direction relatived to a space-like and light-like, constant direction in the Minkowski 3-space.

Keywords

References

  1. [1] Cermelli, P. and Di Scala, A. J., Constant-angle surfaces in liquid crystals. Philosophical Magazine 87 (2007), no 12, 1871–1888.
  2. [2] Chen, B.-Y., Pseudo-Riemannian Geometry, δ-Invariants and Applications, World Scientific, Hackensack, NJ, 2011.
  3. [3] Di Scala, A. J. and Ruiz-Hernandez, G., Helix submanifolds of euclidean spaces. Monatsh Math. 157 (2009), 205–215.
  4. [4] Dillen, F., Fastenakels, J. and Van der Veken, J., Surfaces in S^2 × R with a canonical principal direction. Ann. Global Anal. Geom. 35 (2009), no 4, 381–396.
  5. [5] Dillen, F., Fastenakels, J., Van der Veken, J. and Vrancken, L., Constant angle surfaces in S^2 × R. Monaths Math. 152 (2007), 89–96.
  6. [6] Dillen, F. and Munteanu, M. I., Constant angle surfaces in H^2 × R. Bull. Braz. Math. Soc., New Series 40(1) (2009), 85–97.
  7. [7] Dillen, F., Munteanu, M. I. and Nistor, A. I., Canonical coordinates and principal directions for surfaces in H^2 × R. Taiwanese J. Math. 15 (5) (2011), 2265–2289.
  8. [8] Kelleci, A., Ergüt, M. and Turgay, N. C., New Classification Results on Surfaces with a Canonical Principal Direction in the Minkowski 3-space. Filomat 31 (2017), 6023–6040

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

March 27, 2019

Submission Date

September 19, 2018

Acceptance Date

-

Published in Issue

Year 2019 Volume: 12 Number: 1

APA
Kelleci, A., Turgay, N. C., & Ergüt, M. (2019). New results on helix surfaces in the Minkowski 3-space. International Electronic Journal of Geometry, 12(1), 61-70. https://izlik.org/JA37KT56LE
AMA
1.Kelleci A, Turgay NC, Ergüt M. New results on helix surfaces in the Minkowski 3-space. Int. Electron. J. Geom. 2019;12(1):61-70. https://izlik.org/JA37KT56LE
Chicago
Kelleci, Alev, Nurettin Cenk Turgay, and Mahmut Ergüt. 2019. “New Results on Helix Surfaces in the Minkowski 3-Space”. International Electronic Journal of Geometry 12 (1): 61-70. https://izlik.org/JA37KT56LE.
EndNote
Kelleci A, Turgay NC, Ergüt M (March 1, 2019) New results on helix surfaces in the Minkowski 3-space. International Electronic Journal of Geometry 12 1 61–70.
IEEE
[1]A. Kelleci, N. C. Turgay, and M. Ergüt, “New results on helix surfaces in the Minkowski 3-space”, Int. Electron. J. Geom., vol. 12, no. 1, pp. 61–70, Mar. 2019, [Online]. Available: https://izlik.org/JA37KT56LE
ISNAD
Kelleci, Alev - Turgay, Nurettin Cenk - Ergüt, Mahmut. “New Results on Helix Surfaces in the Minkowski 3-Space”. International Electronic Journal of Geometry 12/1 (March 1, 2019): 61-70. https://izlik.org/JA37KT56LE.
JAMA
1.Kelleci A, Turgay NC, Ergüt M. New results on helix surfaces in the Minkowski 3-space. Int. Electron. J. Geom. 2019;12:61–70.
MLA
Kelleci, Alev, et al. “New Results on Helix Surfaces in the Minkowski 3-Space”. International Electronic Journal of Geometry, vol. 12, no. 1, Mar. 2019, pp. 61-70, https://izlik.org/JA37KT56LE.
Vancouver
1.Alev Kelleci, Nurettin Cenk Turgay, Mahmut Ergüt. New results on helix surfaces in the Minkowski 3-space. Int. Electron. J. Geom. [Internet]. 2019 Mar. 1;12(1):61-70. Available from: https://izlik.org/JA37KT56LE