Research Article

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

Volume: 1 Number: 1 April 29, 2016
Communication in Mathematical Modeling and Applications Cover
Communication in Mathematical Modeling and Applications
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Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4

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

References

  1. Ball, N. H., On Ovals, American Mathematical Monthly, 37(7), 348-353, (1930).
  2. 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).
  3. Blaschke, W., Konvexe bereiche gegebener konstanter breite und kleinsten inhalts, Math. Annalen, B.76, 504-513, (1915).
  4. Blaschke,W., Einige Bemerkungen ¨uber Kurven und Fl¨achen von konstanter Breite., Ber. Verh. s¨achs. Akad. Leipzig, 67, 290-297, (1915).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Zennure Cicek This is me

Publication Date

April 29, 2016

Submission Date

February 13, 2017

Acceptance Date

March 1, 2016

Published in Issue

Year 2016 Volume: 1 Number: 1

IZ

https://izlik.org/JA34SU47RN

Cite

RIS / Bibtex
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.Huseyin Kocayigit, Zennure Cicek. 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