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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

Yusuf Yaylı

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.