Bour’s theorem in Minkowski 3-space
Güler, Erhan ; Vanli, Aysel Turgut
J. Math. Kyoto Univ., Tome 46 (2006) no. 4, p. 47-63 / Harvested from Project Euclid
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In this study, we show that a generalized helicoid with null axis is isometric to a rotation surface with null axis so that helices on the helicoid correspond to parallel circles on the rotation surface in three dimensional Minkowski space. Moreover, we obtained that these surfaces are minimal. An addition, if these surfaces have the same Gauss map, we can determine them.
Publié le : 2006-05-15
Classification:  53C42,  53C50 
@article{1250281796,
     author = {G\"uler, Erhan and Vanli, Aysel Turgut},
     title = {Bour's theorem in Minkowski 3-space},
     journal = {J. Math. Kyoto Univ.},
     volume = {46},
     number = {4},
     year = {2006},
     pages = { 47-63},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281796}
}

Güler, Erhan; Vanli, Aysel Turgut. Bour’s theorem in Minkowski 3-space. J. Math. Kyoto Univ., Tome 46 (2006) no. 4, pp.  47-63. http://gdmltest.u-ga.fr/item/1250281796/