Geodesic
Ruled W-surfaces in Minkowski 3-space $\Re _{1}^{3}$
Archivum mathematicum, Tome 44 (2008) no. 4, pp. 251-263.

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In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set $\lbrace K,\ K_{II},\ H,\ H_{II}\rbrace $, where $(K, H)$ and $(K_{II}, H_{II})$ are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
Classification : 53A10, 53A35, 53B30
Keywords: Weingarten surfaces; Lorentzian motion; ruled surfaces 
@article{ARM_2008__44_4_a0,
     author = {Abdel-Baky, R. A. and Abd-Ellah, H. N.},
     title = {Ruled {W-surfaces} in {Minkowski} 3-space $\Re _{1}^{3}$},
     journal = {Archivum mathematicum},
     pages = {251--263},
     publisher = {mathdoc},
     volume = {44},
     number = {4},
     year = {2008},
     mrnumber = {2493422},
     zbl = {1212.53007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2008__44_4_a0/}
}
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Abdel-Baky, R. A.; Abd-Ellah, H. N. Ruled W-surfaces in Minkowski 3-space $\Re _{1}^{3}$. Archivum mathematicum, Tome 44 (2008) no. 4, pp. 251-263. http://geodesic.mathdoc.fr/item/ARM_2008__44_4_a0/