Araştırma Makalesi
BibTex RIS Kaynak Göster

On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space

Yıl 2016, Cilt: 9 Sayı: 2, 9 - 20, 30.10.2016
https://doi.org/10.36890/iejg.584573

Öz


Kaynakça

  • [1] Abdel-All, N. H., Abdel-Baky, R. A., Hamdoon, F. M. Ruled surfaces with timelike rulings, Applied Mathematics and Computation, 147(2004),no. 1, 241-253.
  • [2] Barros, M., Ferrández, A., How big is the family of stationary null scrolls?, Journal of Geometry and Physics, 64(2013), 54–60.
  • [3] Chino, S., Izumiya, S., Lightlike developables in Minkowski 3-space, Demonstratio Mathematica , 43(2010), no. 2, 387–399.
  • [4] Dillen, F., Kuhnel, W., Ruled Weingarten surfaces in Minkowski 3-space, Manuscripta Mathematica, 98(1999), no. 3, 307–320.
  • [5] Erdoğdu, M., Özdemir, M., Geometry of Hasimoto Surfaces in Minkowski 3-Space, Mathematical Physics, Analysis and Geometry, 17(2014), no. 1, 169–181.
  • [6] Ferrández, A., Lucas, P., On the Gauss map of B-scrolls in 3-dimensional Lorentzian space forms, Czechoslovak Mathematical Journal,50(125) (2000), no. 4, 699–704.
  • [7] Foertsch, T., Hasse, W., Perlick, V., Inertial forces and photon surfaces in arbitrary spacetimes, Classical Quantum Gravity, 20(2003), no. 21, 4635–4651.
  • [8] Liu, H., Ruled surfaces with lightlike ruling in Minkowski 3-space. Journal of Geometry and Physics, 59(2009), no. 1, 74–78.
  • [9] Liu, H., Characterizations of ruled surfaces with lightlike ruling in Minkowski 3-space, Results in Mathematics, 56(2009), no. 1-4, 357–368.
  • [10] O’Neill, B., Semi-Riemannian geometry with applications to relativity, Academic Press, New York, 1983.
  • [11] Peternell, M., Pottmann, H., Ravani, B., On the computational geometry of ruled surfaces, Computer-Aided Design, 31(1999), 17–32.
  • [12] Pottmann, H., Wallner, J., Approximation algorithms for developable surfaces, Comput Aided Geom Design, 16(1999), 539–556.
  • [13] Struik, D. J., Lectures on Classical Differential Geometry, Dover Publications, New York, 1988.
  • [14] Turgut, A., Hacısalihoğlu, H. H., Timelike ruled surfaces in the Minkowski 3-space. II, Turkish Journal of Mathematics, 22(1998), no. 1, 33–46.
  • [15] Walrave, J., Curves and surfaces in Minkowski space, Ph.D. thesis, Katholieke Universiteit Leuven, Belgium 1995.
  • [16] Wang, D. L., Liu, J., Xiao, D. Z., Kinematic differential geometry of a rigid body in spatial motion-II. A new adjoint approach and instantaneous properties of a line trajectory in spatial kinematics, Mechanism and Machine Theory, 32(1997), no. 4, 433-444.
  • [17] Yayli, Y., Saracoglu, S., On developable ruled surfaces in Minkowski space, Advances in Applied Clifford Algebras, 22(2012), no. 2, 499–510.
Yıl 2016, Cilt: 9 Sayı: 2, 9 - 20, 30.10.2016
https://doi.org/10.36890/iejg.584573

Öz

Kaynakça

  • [1] Abdel-All, N. H., Abdel-Baky, R. A., Hamdoon, F. M. Ruled surfaces with timelike rulings, Applied Mathematics and Computation, 147(2004),no. 1, 241-253.
  • [2] Barros, M., Ferrández, A., How big is the family of stationary null scrolls?, Journal of Geometry and Physics, 64(2013), 54–60.
  • [3] Chino, S., Izumiya, S., Lightlike developables in Minkowski 3-space, Demonstratio Mathematica , 43(2010), no. 2, 387–399.
  • [4] Dillen, F., Kuhnel, W., Ruled Weingarten surfaces in Minkowski 3-space, Manuscripta Mathematica, 98(1999), no. 3, 307–320.
  • [5] Erdoğdu, M., Özdemir, M., Geometry of Hasimoto Surfaces in Minkowski 3-Space, Mathematical Physics, Analysis and Geometry, 17(2014), no. 1, 169–181.
  • [6] Ferrández, A., Lucas, P., On the Gauss map of B-scrolls in 3-dimensional Lorentzian space forms, Czechoslovak Mathematical Journal,50(125) (2000), no. 4, 699–704.
  • [7] Foertsch, T., Hasse, W., Perlick, V., Inertial forces and photon surfaces in arbitrary spacetimes, Classical Quantum Gravity, 20(2003), no. 21, 4635–4651.
  • [8] Liu, H., Ruled surfaces with lightlike ruling in Minkowski 3-space. Journal of Geometry and Physics, 59(2009), no. 1, 74–78.
  • [9] Liu, H., Characterizations of ruled surfaces with lightlike ruling in Minkowski 3-space, Results in Mathematics, 56(2009), no. 1-4, 357–368.
  • [10] O’Neill, B., Semi-Riemannian geometry with applications to relativity, Academic Press, New York, 1983.
  • [11] Peternell, M., Pottmann, H., Ravani, B., On the computational geometry of ruled surfaces, Computer-Aided Design, 31(1999), 17–32.
  • [12] Pottmann, H., Wallner, J., Approximation algorithms for developable surfaces, Comput Aided Geom Design, 16(1999), 539–556.
  • [13] Struik, D. J., Lectures on Classical Differential Geometry, Dover Publications, New York, 1988.
  • [14] Turgut, A., Hacısalihoğlu, H. H., Timelike ruled surfaces in the Minkowski 3-space. II, Turkish Journal of Mathematics, 22(1998), no. 1, 33–46.
  • [15] Walrave, J., Curves and surfaces in Minkowski space, Ph.D. thesis, Katholieke Universiteit Leuven, Belgium 1995.
  • [16] Wang, D. L., Liu, J., Xiao, D. Z., Kinematic differential geometry of a rigid body in spatial motion-II. A new adjoint approach and instantaneous properties of a line trajectory in spatial kinematics, Mechanism and Machine Theory, 32(1997), no. 4, 433-444.
  • [17] Yayli, Y., Saracoglu, S., On developable ruled surfaces in Minkowski space, Advances in Applied Clifford Algebras, 22(2012), no. 2, 499–510.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Emilija Nešović

Ufuk Öztürk Bu kişi benim

Esra B. Koç Öztürk Bu kişi benim

Kazım İlarslan

Yayımlanma Tarihi 30 Ekim 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 9 Sayı: 2

Kaynak Göster

APA Nešović, E., Öztürk, U., Koç Öztürk, E. B., İlarslan, K. (2016). On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space. International Electronic Journal of Geometry, 9(2), 9-20. https://doi.org/10.36890/iejg.584573
AMA Nešović E, Öztürk U, Koç Öztürk EB, İlarslan K. On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space. Int. Electron. J. Geom. Ekim 2016;9(2):9-20. doi:10.36890/iejg.584573
Chicago Nešović, Emilija, Ufuk Öztürk, Esra B. Koç Öztürk, ve Kazım İlarslan. “On Ruled Surfaces With Pseudo Null Base Curve in Minkowski 3-Space”. International Electronic Journal of Geometry 9, sy. 2 (Ekim 2016): 9-20. https://doi.org/10.36890/iejg.584573.
EndNote Nešović E, Öztürk U, Koç Öztürk EB, İlarslan K (01 Ekim 2016) On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space. International Electronic Journal of Geometry 9 2 9–20.
IEEE E. Nešović, U. Öztürk, E. B. Koç Öztürk, ve K. İlarslan, “On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space”, Int. Electron. J. Geom., c. 9, sy. 2, ss. 9–20, 2016, doi: 10.36890/iejg.584573.
ISNAD Nešović, Emilija vd. “On Ruled Surfaces With Pseudo Null Base Curve in Minkowski 3-Space”. International Electronic Journal of Geometry 9/2 (Ekim 2016), 9-20. https://doi.org/10.36890/iejg.584573.
JAMA Nešović E, Öztürk U, Koç Öztürk EB, İlarslan K. On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space. Int. Electron. J. Geom. 2016;9:9–20.
MLA Nešović, Emilija vd. “On Ruled Surfaces With Pseudo Null Base Curve in Minkowski 3-Space”. International Electronic Journal of Geometry, c. 9, sy. 2, 2016, ss. 9-20, doi:10.36890/iejg.584573.
Vancouver Nešović E, Öztürk U, Koç Öztürk EB, İlarslan K. On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space. Int. Electron. J. Geom. 2016;9(2):9-20.