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POINT-LINE GEOMETRY AND EQUIFORM KINEMATICS IN MINKOWSKI THREE -SPACE

Year 2012, Volume: 5 Issue: 2, 27 - 35, 30.10.2012

Ufuk Öztürk , E.betül Koç Öztürk Yusuf Yaylı

Abstract



Keywords

Line geometry line element dual split quaternion

References

  • [1] Aydogmus,O., Kula, L. and Yayli, Y., On point-line displacement in Minkowski 3-space, Dif- ferential Geometry -Dynamical Systems, 10 (2008), 32-43.
  • [2] Clifford, W. K., Preliminary skecth of biquaternions, Proceedings of London Math. Soc. 4 (1873), 361-395.
  • [3] Gundogan, H. and Kecilioglu, O., Lorentzian Matrix Multiplication and the Motions on Lorentzian Plane, Glasnik Matematicki, 41(2006), No. 61, 329-334.
  • [4] Koc Ozturk, E.B., Spiral vector fields and applications, Ankara University, Ph.D. Thesis, 2012.
  • [5] Kula, L., Yayli, Y. Dual Split Quaternions and Screw Motions in Minkowski 3- Space, Iranian Journal of Science and Technology (Trans A). Vol. 30, Number A3 (2006), 245-258.
  • [6] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press 1983.
  • [7] Odehnal, B., Pottmann, H. and Wallner, J., Equiform kinematics and the geometry of line elements, Beitr¨age zur Algebra und Geometrie, 47(2006), No. 2, 567-582.
  • [8] Zhang, Y. and Ting, K.L., On point-line geometry and displacement, Mech. Mach. Theory 39 (2004), 1033-1050.

Year 2012, Volume: 5 Issue: 2, 27 - 35, 30.10.2012

Ufuk Öztürk , E.betül Koç Öztürk Yusuf Yaylı

Abstract

References

  • [1] Aydogmus,O., Kula, L. and Yayli, Y., On point-line displacement in Minkowski 3-space, Dif- ferential Geometry -Dynamical Systems, 10 (2008), 32-43.
  • [2] Clifford, W. K., Preliminary skecth of biquaternions, Proceedings of London Math. Soc. 4 (1873), 361-395.
  • [3] Gundogan, H. and Kecilioglu, O., Lorentzian Matrix Multiplication and the Motions on Lorentzian Plane, Glasnik Matematicki, 41(2006), No. 61, 329-334.
  • [4] Koc Ozturk, E.B., Spiral vector fields and applications, Ankara University, Ph.D. Thesis, 2012.
  • [5] Kula, L., Yayli, Y. Dual Split Quaternions and Screw Motions in Minkowski 3- Space, Iranian Journal of Science and Technology (Trans A). Vol. 30, Number A3 (2006), 245-258.
  • [6] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press 1983.
  • [7] Odehnal, B., Pottmann, H. and Wallner, J., Equiform kinematics and the geometry of line elements, Beitr¨age zur Algebra und Geometrie, 47(2006), No. 2, 567-582.
  • [8] Zhang, Y. and Ting, K.L., On point-line geometry and displacement, Mech. Mach. Theory 39 (2004), 1033-1050.
There are 8 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Ufuk Öztürk

E.betül Koç Öztürk This is me

Yusuf Yaylı This is me

Publication Date October 30, 2012
Published in Issue Year 2012 Volume: 5 Issue: 2

Cite

APA Öztürk, U., Koç Öztürk, E., & Yaylı, Y. (2012). POINT-LINE GEOMETRY AND EQUIFORM KINEMATICS IN MINKOWSKI THREE -SPACE. International Electronic Journal of Geometry, 5(2), 27-35.
AMA Öztürk U, Koç Öztürk E, Yaylı Y. POINT-LINE GEOMETRY AND EQUIFORM KINEMATICS IN MINKOWSKI THREE -SPACE. Int. Electron. J. Geom. October 2012;5(2):27-35.
Chicago Öztürk, Ufuk, E.betül Koç Öztürk, and Yusuf Yaylı. “POINT-LINE GEOMETRY AND EQUIFORM KINEMATICS IN MINKOWSKI THREE -SPACE”. International Electronic Journal of Geometry 5, no. 2 (October 2012): 27-35.
EndNote Öztürk U, Koç Öztürk E, Yaylı Y (October 1, 2012) POINT-LINE GEOMETRY AND EQUIFORM KINEMATICS IN MINKOWSKI THREE -SPACE. International Electronic Journal of Geometry 5 2 27–35.
IEEE U. Öztürk, E. Koç Öztürk, and Y. Yaylı, “POINT-LINE GEOMETRY AND EQUIFORM KINEMATICS IN MINKOWSKI THREE -SPACE”, Int. Electron. J. Geom., vol. 5, no. 2, pp. 27–35, 2012.
ISNAD Öztürk, Ufuk et al. “POINT-LINE GEOMETRY AND EQUIFORM KINEMATICS IN MINKOWSKI THREE -SPACE”. International Electronic Journal of Geometry 5/2 (October 2012), 27-35.
JAMA Öztürk U, Koç Öztürk E, Yaylı Y. POINT-LINE GEOMETRY AND EQUIFORM KINEMATICS IN MINKOWSKI THREE -SPACE. Int. Electron. J. Geom. 2012;5:27–35.
MLA Öztürk, Ufuk et al. “POINT-LINE GEOMETRY AND EQUIFORM KINEMATICS IN MINKOWSKI THREE -SPACE”. International Electronic Journal of Geometry, vol. 5, no. 2, 2012, pp. 27-35.
Vancouver Öztürk U, Koç Öztürk E, Yaylı Y. POINT-LINE GEOMETRY AND EQUIFORM KINEMATICS IN MINKOWSKI THREE -SPACE. Int. Electron. J. Geom. 2012;5(2):27-35.