References
- L. J. Alias, A. Ferrandez, P. Lucas, and M. A. Moreno, On the Gauss map of Bscrolls, Tsukuba J. Math. 22 (1998), no. 2, 371-377.
- N. Ayylldlz and A. Yucesan, On the scalar and dual formulations of the curvature theory of line trajectories in the Lorentzian space, J. Korean Math. Soc. 43 (2006), no. 6, 1339-1355. https://doi.org/10.4134/JKMS.2006.43.6.1339
- H. Balgetir, M. Bektas, and M. Ergut, Null scroll in the 3-dimensional Lorentzian space, Appl. Sci. 5 (2003), no. 1, 1-5.
- W. B. Bonnor, Null hypersurfaces in Minkowski space-time, Tensor (N. S.) 24 (1972), 329-345.
- S. M. Choi, U. H. Ki, and Y. J. Suh, On the Gauss map of null scrolls, Tsukuba J. Math. 22 (1998), no. 1, 273-279. https://doi.org/10.21099/tkbjm/1496163485
- A. C. Coken and U. Ciftci, On null curves on surfaces and null vectors in Lorentz space, SDU Fen Derg. 2 (2007), no. 1, 111-116.
- K. L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publishers, 1996.
- S. Ersoy and M. Tosun, On the trajectory null scrolls in 3-dimensional Minkowski spacetime E3 1 , Kyungpook Math. J. 48 (2008), no. 1, 81-92. https://doi.org/10.5666/KMJ.2008.48.1.081
- A. Ferrandez and P. Lucas, On surfaces in the 3-dimensional Lorentz-Minkowski space, Pacific J. Math. 152 (1992), no. 1, 93-100. https://doi.org/10.2140/pjm.1992.152.93
- A. Ferrandez, A. Gimenez, and P. Lucas, Null helices in Lorentzian space forms, Internat. J. Modern Phys. A. 16 (2001), no. 30, 4845-4863. https://doi.org/10.1142/S0217751X01005821
- H. Liu, Ruled surfaces with lightlike ruling in 3-Minkowski space, J. Geom. Phys. 59 (2009), no. 1, 74-78. https://doi.org/10.1016/j.geomphys.2008.10.003
- J. M. McCarthy, On the scalar and dual formulations of the curvature theory of line trajectories, Journal of Mechanisms, Transmissions, and Automation in Design 109 (1987), 101-106. https://doi.org/10.1115/1.3258772
- J. M. McCarthy and B. Roth, The curvature theory of line trajectories in spatial kine- matics, ASME Journal of Mechanical Design 103 (1981), no. 4, 718-724. https://doi.org/10.1115/1.3254978
- B. S. Ryuh, Robot trajectory planning using the curvature theory of ruled surfaces, Doctoral dissertation, Purdue University, West Lafayette, Ind, USA, 1989.