On pairs of geometric foliations on a cross-cap

Farid Tari

doi:10.2748/tmj/1182180735

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Home > Journals > Tohoku Math. J. (2) > Volume 59 > Issue 2 > Article

2007 On pairs of geometric foliations on a cross-cap

Farid Tari

Tohoku Math. J. (2) 59(2): 233-258 (2007). DOI: 10.2748/tmj/1182180735

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Abstract

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.