On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space

Volume: 10 Number: 1 June 1, 2008
  • Murat Kemal Karacan
  • Bahaddin Bükcü
TR EN

Abstract

Bu çalışmada, Minkowski 3-uzayında iki farklı hiperbolik silindirik Tzitzeica eğrisinin, spacelike, timelike ve null olması için gerek ve yeter şartları verdik. Burada, Tzitzeica şartını sağlayan hiperbolik silindirik eğriler, harmonik denklemlerin çözümü yoluyla elde edilir

Keywords

References

  1. [1] M. Petrovic-Torgasev, E. Sucurovic , "Some Characterizations of The Spacelike, The Timelike and The Null Curves on The Pseudohyperbolic Space 2 H0 in 3 E1 ", Kragujevac J. Math. ,Vol 22, pp:71-82, 2000
  2. [2] M. Crasmareanu ,”Cylindrical Tzitzeica Curves Implies Forced Harmonic, Oscillators", Balkan Journal of Geometry and Its Applications,Vol. 7, No. 1, pp 37-42, 2002
  3. [3] E. Akyıldız,Y. Akyıldız, Alpay, A. Erkip and A. Yazıcı,"Lecture Notes on Differential Equations", Metu Publications, pp: 293, 1981
  4. [4] B. Bukcu, M. K. Karacan, "On the involute and evolute curves of the spacelike curve with a spacelike binormal in Minkowski 3-space", Int. Journal of Contemp. Math. Sciences, Vol. 2„ no. 5-8, 2007
  5. [5] S. L. Ross, "Differential Equation", John Wiley & Sons , Inc, New York,1984

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Murat Kemal Karacan This is me

Bahaddin Bükcü This is me

Publication Date

June 1, 2008

Submission Date

June 1, 2008

Acceptance Date

-

Published in Issue

Year 2008 Volume: 10 Number: 1

APA
Karacan, M. K., & Bükcü, B. (2008). On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 10(1), 46-51. https://izlik.org/JA82KM75AL
AMA
1.Karacan MK, Bükcü B. On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2008;10(1):46-51. https://izlik.org/JA82KM75AL
Chicago
Karacan, Murat Kemal, and Bahaddin Bükcü. 2008. “On the Hyperbolic Cylindrical Tzitzeica Curves in Minkowski 3-Space”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 10 (1): 46-51. https://izlik.org/JA82KM75AL.
EndNote
Karacan MK, Bükcü B (June 1, 2008) On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 10 1 46–51.
IEEE
[1]M. K. Karacan and B. Bükcü, “On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space”, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 10, no. 1, pp. 46–51, June 2008, [Online]. Available: https://izlik.org/JA82KM75AL
ISNAD
Karacan, Murat Kemal - Bükcü, Bahaddin. “On the Hyperbolic Cylindrical Tzitzeica Curves in Minkowski 3-Space”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 10/1 (June 1, 2008): 46-51. https://izlik.org/JA82KM75AL.
JAMA
1.Karacan MK, Bükcü B. On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2008;10:46–51.
MLA
Karacan, Murat Kemal, and Bahaddin Bükcü. “On the Hyperbolic Cylindrical Tzitzeica Curves in Minkowski 3-Space”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 10, no. 1, June 2008, pp. 46-51, https://izlik.org/JA82KM75AL.
Vancouver
1.Murat Kemal Karacan, Bahaddin Bükcü. On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi [Internet]. 2008 Jun. 1;10(1):46-51. Available from: https://izlik.org/JA82KM75AL