Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
ON PAIRS OF GEOMETRIC FOLIATIONS ON A CROSS-CAP
FARID TARI
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Keywords: Cross-caps, lines of principal curvature, asymptotic curves, characteristic curves, singularities
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2007 Volume 59 Issue 2 Pages 233-258

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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.
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© 2007 by THE TOHOKU UNIVERSITY
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Tohoku Mathematical Journal, First Series

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