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Year 2016, Volume: 4 Issue: 3, 270 - 276, 30.09.2016

Abstract

References

  • A.C. Coken, and U. Ciftci, On the Cartan Curvatures of a Null Curve in Minkowski Spacetime, Geometriae Dedicate 114 (2005), 71-78.
  • A. Fernandez, A. Gimenez, and P. Lucas, Null helices in Lorentzian space forms, Int. J. Mod. Phys. A. 16 (2001), 4845-4863.
  • A. T. Ali, M. Onder, Some Characterizations of Rectifying Spacelike Curves in the Minkowski Space-Time, Global J of Sciences Frontier Research Math, Vol 12, Is 1, 2012 2249-4626
  • C. Camci, K. Ilarslan, L. Kula, H.H. Hacisalihoglu, Harmonic Curvatures and Generalized Helices in E^n, Chaos,Solitions and Fractals 40 (2009), 2590-2596.
  • H.H. Ugurlu, On The Geometry of Timelike Surfaces , Communication, Ankara University, Faculty of Sciences, Dept.of Math., Series Al, Vol.46, pp. 211-223 (1997).
  • K. Ilarslan, and O. Boyacioglu, Position vectors of a timelike and a null helix in Minkowski 3-space, Chaos,Solitions and Fractals (2008), 1383-1389.
  • K. Ilarslan, Spacelike Normal Curves in Minkowski E_1^3, Turk. J. Math 29(2005), 53-63.
  • K. Ilarslan, E. Nesovic, M. Petrovic-Torgasev, Some Characterizations of Rectifying Curves in Minkowski 3-space, Novi Sad J Math 2003, 33(2), 23-32.
  • K. Ilarslan, E. Nesovic, Spacelike and timelike normal curves, Publications de l’Institut Mathématique (Beograd) Nouvelle serie, tome 85(99) (2009) 111-118.
  • K. Ilarslan, E. Nesovic, Some characterizations of rectifying curves in the Euclidean space E^4., Turkish J. Math. 32 (2008), no. 1, 21-30.
  • K. Ilarslan, and E. Nesovic, Some characterizations of null osculating curves in the Minkowski space-time, Proceedings of the Estonian Academy of Sciences, 61, I (2012), 1-8.
  • K.L. Duggal, and D.H. Jin, Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, Copyriht C 2007 by World Scientific Publishing Co. Pte. Ltd., (2007), Page 83.
  • M. Onder, H. Kocayigit and M. Kazaz, Spacelike Helices in Minkowski 4-space, Ann. Univ. Ferrera 2010, 56, 335-343.
  • M. A. Akgun, A. I. Sivridag, On The Null Cartan Curves of R_1^4, Global Journal of Mathematics, Vol.1 No.1,2015,41-50.
  • M. A. Akgun, A. I. Sivridag, On The Characterizations of Timelike Curves in R_1^4, Global Journal of Mathematics, Vol.2 No.2,2015,116-127.
  • M. A. Akgun, A. I. Sivridag, Some Characterizations of a Spacelike Curve in R_1^4, Pure Mathematical Sciences, Hikari Ltd., Vol.4 No.1-4,2015,43-55.
  • S. Keles, S. Y. Perktas and E. Kilic, Biharmonic Curves in LP-Sasakian Manifolds, Bulletin of the Malasyian Mathematical Society, (2) 33(2), 2010, 325-344.

Some characterizations of a timelike curve in R_1^3

Year 2016, Volume: 4 Issue: 3, 270 - 276, 30.09.2016

Abstract




In this paper, we study the position vectors of a
timelike curve in the Minkowski 3-space
. We give some characterizations for timelike curves which lie on some
subspaces of
.



References

  • A.C. Coken, and U. Ciftci, On the Cartan Curvatures of a Null Curve in Minkowski Spacetime, Geometriae Dedicate 114 (2005), 71-78.
  • A. Fernandez, A. Gimenez, and P. Lucas, Null helices in Lorentzian space forms, Int. J. Mod. Phys. A. 16 (2001), 4845-4863.
  • A. T. Ali, M. Onder, Some Characterizations of Rectifying Spacelike Curves in the Minkowski Space-Time, Global J of Sciences Frontier Research Math, Vol 12, Is 1, 2012 2249-4626
  • C. Camci, K. Ilarslan, L. Kula, H.H. Hacisalihoglu, Harmonic Curvatures and Generalized Helices in E^n, Chaos,Solitions and Fractals 40 (2009), 2590-2596.
  • H.H. Ugurlu, On The Geometry of Timelike Surfaces , Communication, Ankara University, Faculty of Sciences, Dept.of Math., Series Al, Vol.46, pp. 211-223 (1997).
  • K. Ilarslan, and O. Boyacioglu, Position vectors of a timelike and a null helix in Minkowski 3-space, Chaos,Solitions and Fractals (2008), 1383-1389.
  • K. Ilarslan, Spacelike Normal Curves in Minkowski E_1^3, Turk. J. Math 29(2005), 53-63.
  • K. Ilarslan, E. Nesovic, M. Petrovic-Torgasev, Some Characterizations of Rectifying Curves in Minkowski 3-space, Novi Sad J Math 2003, 33(2), 23-32.
  • K. Ilarslan, E. Nesovic, Spacelike and timelike normal curves, Publications de l’Institut Mathématique (Beograd) Nouvelle serie, tome 85(99) (2009) 111-118.
  • K. Ilarslan, E. Nesovic, Some characterizations of rectifying curves in the Euclidean space E^4., Turkish J. Math. 32 (2008), no. 1, 21-30.
  • K. Ilarslan, and E. Nesovic, Some characterizations of null osculating curves in the Minkowski space-time, Proceedings of the Estonian Academy of Sciences, 61, I (2012), 1-8.
  • K.L. Duggal, and D.H. Jin, Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, Copyriht C 2007 by World Scientific Publishing Co. Pte. Ltd., (2007), Page 83.
  • M. Onder, H. Kocayigit and M. Kazaz, Spacelike Helices in Minkowski 4-space, Ann. Univ. Ferrera 2010, 56, 335-343.
  • M. A. Akgun, A. I. Sivridag, On The Null Cartan Curves of R_1^4, Global Journal of Mathematics, Vol.1 No.1,2015,41-50.
  • M. A. Akgun, A. I. Sivridag, On The Characterizations of Timelike Curves in R_1^4, Global Journal of Mathematics, Vol.2 No.2,2015,116-127.
  • M. A. Akgun, A. I. Sivridag, Some Characterizations of a Spacelike Curve in R_1^4, Pure Mathematical Sciences, Hikari Ltd., Vol.4 No.1-4,2015,43-55.
  • S. Keles, S. Y. Perktas and E. Kilic, Biharmonic Curves in LP-Sasakian Manifolds, Bulletin of the Malasyian Mathematical Society, (2) 33(2), 2010, 325-344.
There are 17 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Muslum Aykut Akgun This is me

Ali İhsan Sivridag This is me

Publication Date September 30, 2016
Published in Issue Year 2016 Volume: 4 Issue: 3

Cite

APA Akgun, M. A., & Sivridag, A. İ. (2016). Some characterizations of a timelike curve in R_1^3. New Trends in Mathematical Sciences, 4(3), 270-276.
AMA Akgun MA, Sivridag Aİ. Some characterizations of a timelike curve in R_1^3. New Trends in Mathematical Sciences. September 2016;4(3):270-276.
Chicago Akgun, Muslum Aykut, and Ali İhsan Sivridag. “Some Characterizations of a Timelike Curve in R_1^3”. New Trends in Mathematical Sciences 4, no. 3 (September 2016): 270-76.
EndNote Akgun MA, Sivridag Aİ (September 1, 2016) Some characterizations of a timelike curve in R_1^3. New Trends in Mathematical Sciences 4 3 270–276.
IEEE M. A. Akgun and A. İ. Sivridag, “Some characterizations of a timelike curve in R_1^3”, New Trends in Mathematical Sciences, vol. 4, no. 3, pp. 270–276, 2016.
ISNAD Akgun, Muslum Aykut - Sivridag, Ali İhsan. “Some Characterizations of a Timelike Curve in R_1^3”. New Trends in Mathematical Sciences 4/3 (September 2016), 270-276.
JAMA Akgun MA, Sivridag Aİ. Some characterizations of a timelike curve in R_1^3. New Trends in Mathematical Sciences. 2016;4:270–276.
MLA Akgun, Muslum Aykut and Ali İhsan Sivridag. “Some Characterizations of a Timelike Curve in R_1^3”. New Trends in Mathematical Sciences, vol. 4, no. 3, 2016, pp. 270-6.
Vancouver Akgun MA, Sivridag Aİ. Some characterizations of a timelike curve in R_1^3. New Trends in Mathematical Sciences. 2016;4(3):270-6.