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

Huseyin Kocayigit; Zennure Cicek

EN

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

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).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Huseyin Kocayigit

Zennure Cicek Bu kişi benim

Yayımlanma Tarihi

29 Nisan 2016

Gönderilme Tarihi

13 Şubat 2017

Kabul Tarihi

1 Mart 2016

Yayımlandığı Sayı

Yıl 2016 Cilt: 1 Sayı: 1

IZ

https://izlik.org/JA34SU47RN

Kaynak Göster

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, ve 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 (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

[1]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, Oca. 2016, [çevrimiçi]. Erişim adresi: 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 (01 Ocak 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, 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, Ocak 2016, ss. 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]. 01 Ocak 2016;1(1):52-61. Erişim adresi: https://izlik.org/JA34SU47RN