참고문헌
- K. Akutagawa and S. Nishikawa, The Gauss Map and Spacelike Surfaces with Prescribed Mean Curvature in Minkowski 3-Space, Tohoku Math. J. (2) 42 (1990), no. 1, 67-82 https://doi.org/10.2748/tmj/1178227694
- G. S. Birman and K. Nomizu, Trigonometry in Lorentzian Geometry, Amer. Math. Monthly 91 (1984), no. 9, 543-549 https://doi.org/10.2307/2323737
- H. Guggenheimer, Diffential Geometry, Dover Publications, 1977
- 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 Kinematics, ASME Journal of Mechanical Design 103 (1981), no. 4, 718{724 https://doi.org/10.1115/1.3254978
- B. O'Neill, Semi-Riemannian Geometry with Applications to Relativity, Aca- demic Press, London, 1983
- A. Turgut and H. H. Hacisalihoglu, Timelike Ruled Surfaces in the Minkowski 3-Space-II, Turkish J. Math. 22 (1998), no. 1, 33-46
-
H. H. Ugurlu and A. Cahskan, The Study Mapping for Directed Spacelike and Timelike Lines in Minkowski 3-space
${\Re}^3_1$ , Mathematical and Computational Applications 1 (1996), no. 2, 142-148 https://doi.org/10.3390/mca1020142 - G. R. Veldkamp, On the use of dual numbers, vectors and matrices in instan- taneous, spatial kinematics, Mechanism and Machine Theory 11 (1976), no. 2, 141-158 https://doi.org/10.1016/0094-114X(76)90006-9
-
Y. Yayh, A. Cahskan, and H. H. Ugurlu, The E. Study Maps of Circles on Dual Hyperbolic and Lorentzian Unit Spheres
$H^2_0$ and$S^2_1$ , Math. Proc. R. Ir. Acad. 102A (2002), no. 1, 37-47
피인용 문헌
- On Motion of Robot End-Effector Using the Curvature Theory of Timelike Ruled Surfaces with Timelike Rulings vol.2008, 2008, https://doi.org/10.1155/2008/362783
- A STUDY ON A RULED SURFACE WITH LIGHTLIKE RULING FOR A NULL CURVE WITH CARTAN FRAME vol.49, pp.3, 2012, https://doi.org/10.4134/BKMS.2012.49.3.635