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On pairs of geometric foliations on a cross-cap

Tari, Farid

Authors

Farid Tari



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.

Citation

Tari, F. (2007). On pairs of geometric foliations on a cross-cap. Tohoku mathematical journal, 59(2), 233-258

Journal Article Type Article
Publication Date 2007-06
Deposit Date Mar 27, 2008
Journal Tohoku mathematical journal
Print ISSN 0040-8735
Publisher Mathematical Institute of Tohoku University
Peer Reviewed Peer Reviewed
Volume 59
Issue 2
Pages 233-258
Keywords Cross-caps, Lines of principal curvature, Asymptotic curves, Characteristic curves, Singularities.
Publisher URL http://www.math.tohoku.ac.jp/tmj/abs/abs59_2_4.html

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