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Year 2008, Volume: 10 Issue: 1, 46 - 51, 01.06.2008

Murat Kemal Karacan Bahaddin Bükcü

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

Tzitzeica Eğrisi Hiperbolik Silindirik Eğri Minkowski 3-Uzayı

References

  • [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] 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] E. Akyıldız,Y. Akyıldız, Alpay, A. Erkip and A. Yazıcı,"Lecture Notes on Differential Equations", Metu Publications, pp: 293, 1981
  • [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] S. L. Ross, "Differential Equation", John Wiley & Sons , Inc, New York,1984

On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space

Year 2008, Volume: 10 Issue: 1, 46 - 51, 01.06.2008

Murat Kemal Karacan Bahaddin Bükcü

Abstract

In this study, we have given necessary and sufficient conditions to be of spacelike, timelike and null curve of the two different hyperbolic cylindrical Tzitzeica curve in Minkowski 3-Space. Here, hyperbolic cylindrical curves satisfying Tzitzeica condition are obtained via the solution of the harmonic equation

Keywords

Tzitzeica Curve Hyperbolic Cylindrical Curve Minkowski 3-Space

References

  • [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] 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] E. Akyıldız,Y. Akyıldız, Alpay, A. Erkip and A. Yazıcı,"Lecture Notes on Differential Equations", Metu Publications, pp: 293, 1981
  • [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] S. L. Ross, "Differential Equation", John Wiley & Sons , Inc, New York,1984
There are 5 citations in total.

Details

Other ID JA22DH84MZ
Journal Section Research Articles
Authors

Murat Kemal Karacan This is me

Bahaddin Bükcü This is me

Publication Date June 1, 2008
Submission Date June 1, 2008
Published in Issue Year 2008 Volume: 10 Issue: 1

Cite

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.
AMA Karacan MK, Bükcü B. On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space. BAUN Fen. Bil. Enst. Dergisi. June 2008;10(1):46-51.
Chicago Karacan, Murat Kemal, and Bahaddin Bükcü. “On the Hyperbolic Cylindrical Tzitzeica Curves in Minkowski 3-Space”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 10, no. 1 (June 2008): 46-51.
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 M. K. Karacan and B. Bükcü, “On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space”, BAUN Fen. Bil. Enst. Dergisi, vol. 10, no. 1, pp. 46–51, 2008.
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 2008), 46-51.
JAMA Karacan MK, Bükcü B. On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space. BAUN Fen. Bil. Enst. 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, 2008, pp. 46-51.
Vancouver Karacan MK, Bükcü B. On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space. BAUN Fen. Bil. Enst. Dergisi. 2008;10(1):46-51.