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

Yıl 2016, Cilt: 1 Sayı: 1, 52 - 61, 29.04.2016

Huseyin Kocayigit , Zennure Cicek

Öz

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.

Anahtar Kelimeler

Constant breadth curve timelike curve Frenet frame.

Kaynakça

  • 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).

Yıl 2016, Cilt: 1 Sayı: 1, 52 - 61, 29.04.2016

Huseyin Kocayigit , Zennure Cicek

Öz

Kaynakça

  • 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).
Toplam 4 adet kaynakça vardır.

Ayrıntılar

Konular Matematik
Bölüm Mathematics, Engineering and statistics
Yazarlar

Huseyin Kocayigit

Zennure Cicek Bu kişi benim

Yayımlanma Tarihi 29 Nisan 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 1 Sayı: 1

Kaynak Göster

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. Ocak 2016;1(1):52-61.
Chicago Kocayigit, Huseyin, ve Zennure Cicek. “Some Characterizations of Constant Breadth Timelike Curves in Minkowski 4-Space E_1^4”. Communication in Mathematical Modeling and Applications 1, sy. 1 (Ocak 2016): 52-61.
EndNote Kocayigit H, Cicek Z (01 Ocak 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 ve Z. Cicek, “Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4”, CMMA, c. 1, sy. 1, ss. 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 (Ocak 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 ve Zennure Cicek. “Some Characterizations of Constant Breadth Timelike Curves in Minkowski 4-Space E_1^4”. Communication in Mathematical Modeling and Applications, c. 1, sy. 1, 2016, ss. 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.