We obtain the topological configurations of the lines of curvature, the asymptotic and characteristic curves on a cross-cap, in the domain of a parametrisation of this surface as well as on the surface itself.
Publié le : 2007-05-14
Classification:
Cross-caps,
lines of principal curvature,
asymptotic curves,
characteristic curves,
singularities,
53A05,
58K05,
34A09
@article{1182180735,
author = {Tari, Farid},
title = {On pairs of geometric foliations on a cross-cap},
journal = {Tohoku Math. J. (2)},
volume = {59},
number = {1},
year = {2007},
pages = { 233-258},
language = {en},
url = {http://dml.mathdoc.fr/item/1182180735}
}
Tari, Farid. On pairs of geometric foliations on a cross-cap. Tohoku Math. J. (2), Tome 59 (2007) no. 1, pp. 233-258. http://gdmltest.u-ga.fr/item/1182180735/