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Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4

Year 2016, Volume: 1 Issue: 1, 52 - 61, 29.04.2016

Huseyin Kocayigit , Zennure Cicek

https://izlik.org/JA34SU47RN

Abstract

In this study, the differential equation characterizations of constant breadth timelike curves are given in Minkowski 4-space E14. Furthermore, a criterion for a timelike curve to be a curve of constant breadth in E14  is introduced. As an example, the obtained  results are applied to the case that the curvatures k1, k2, k3 and are discussed.

Keywords

Constant breadth curve timelike curve Frenet frame.

References

  • Ball, N. H., On Ovals, American Mathematical Monthly, 37(7), 348-353, (1930).
  • Barbier, E., Note sur le probl´eme de l’aiguille et le jeu du joint couvert. J. Math. Pures Appl., II. Ser. 5, 273-286, (1860).
  • Blaschke, W., Konvexe bereiche gegebener konstanter breite und kleinsten inhalts, Math. Annalen, B.76, 504-513, (1915).
  • Blaschke,W., Einige Bemerkungen ¨uber Kurven und Fl¨achen von konstanter Breite., Ber. Verh. s¨achs. Akad. Leipzig, 67, 290-297, (1915).

Year 2016, Volume: 1 Issue: 1, 52 - 61, 29.04.2016

Huseyin Kocayigit , Zennure Cicek

https://izlik.org/JA34SU47RN

Abstract

References

  • Ball, N. H., On Ovals, American Mathematical Monthly, 37(7), 348-353, (1930).
  • Barbier, E., Note sur le probl´eme de l’aiguille et le jeu du joint couvert. J. Math. Pures Appl., II. Ser. 5, 273-286, (1860).
  • Blaschke, W., Konvexe bereiche gegebener konstanter breite und kleinsten inhalts, Math. Annalen, B.76, 504-513, (1915).
  • Blaschke,W., Einige Bemerkungen ¨uber Kurven und Fl¨achen von konstanter Breite., Ber. Verh. s¨achs. Akad. Leipzig, 67, 290-297, (1915).
There are 4 citations in total.

Details

Subjects Mathematical Sciences
Journal Section Research Article
Authors

Huseyin Kocayigit

Zennure Cicek This is me

Publication Date April 29, 2016
IZ https://izlik.org/JA34SU47RN
Published in Issue Year 2016 Volume: 1 Issue: 1

Cite

APA Kocayigit, H., & Cicek, Z. (2016). Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4. Communication in Mathematical Modeling and Applications, 1(1), 52-61. https://izlik.org/JA34SU47RN
AMA 1.Kocayigit H, Cicek Z. Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4. CMMA. 2016;1(1):52-61. https://izlik.org/JA34SU47RN
Chicago Kocayigit, Huseyin, and Zennure Cicek. 2016. “Some Characterizations of Constant Breadth Timelike Curves in Minkowski 4-Space E_1^4”. Communication in Mathematical Modeling and Applications 1 (1): 52-61. https://izlik.org/JA34SU47RN.
EndNote Kocayigit H, Cicek Z (January 1, 2016) Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4. Communication in Mathematical Modeling and Applications 1 1 52–61.
IEEE [1]H. Kocayigit and Z. Cicek, “Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4”, CMMA, vol. 1, no. 1, pp. 52–61, Jan. 2016, [Online]. Available: https://izlik.org/JA34SU47RN
ISNAD Kocayigit, Huseyin - Cicek, Zennure. “Some Characterizations of Constant Breadth Timelike Curves in Minkowski 4-Space E_1^4”. Communication in Mathematical Modeling and Applications 1/1 (January 1, 2016): 52-61. https://izlik.org/JA34SU47RN.
JAMA 1.Kocayigit H, Cicek Z. Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4. CMMA. 2016;1:52–61.
MLA Kocayigit, Huseyin, and Zennure Cicek. “Some Characterizations of Constant Breadth Timelike Curves in Minkowski 4-Space E_1^4”. Communication in Mathematical Modeling and Applications, vol. 1, no. 1, Jan. 2016, pp. 52-61, https://izlik.org/JA34SU47RN.
Vancouver 1.Kocayigit H, Cicek Z. Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4. CMMA [Internet]. 2016 Jan. 1;1(1):52-61. Available from: https://izlik.org/JA34SU47RN