Bour's Theorem in Minkowski Geometry

IKAWA, Toshihiko

Tokyo J. of Math., Tome 24 (2001) no. 2, p. 377-394 / Harvested from Project Euclid

Résumé

In three dimensional Minkowski space, we show that a generalized helicoid is isometric to a rotation surface so that helices on the helicoid correspond to parallel circles on the rotation surface. Moreover, if these surfaces have the same Gauss map, we can determine them.

Publié le : 2001-12-15
Classification:

@article{1255958182,
     author = {IKAWA, Toshihiko},
     title = {Bour's Theorem in Minkowski Geometry},
     journal = {Tokyo J. of Math.},
     volume = {24},
     number = {2},
     year = {2001},
     pages = { 377-394},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255958182}
}

IKAWA, Toshihiko. Bour's Theorem in Minkowski Geometry. Tokyo J. of Math., Tome 24 (2001) no. 2, pp.  377-394. http://gdmltest.u-ga.fr/item/1255958182/