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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

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

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 Mathematics, Engineering and statistics
Authors

Huseyin Kocayigit

Zennure Cicek

Publication Date April 29, 2016
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.
AMA Kocayigit H, Cicek Z. Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4. CMMA. January 2016;1(1):52-61.
Chicago 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 1, no. 1 (January 2016): 52-61.
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 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, 2016.
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 2016), 52-61.
JAMA 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, 2016, pp. 52-61.
Vancouver Kocayigit H, Cicek Z. Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4. CMMA. 2016;1(1):52-61.