Lines of axial curvature on surfaces immersed in R4
✍ Scribed by Ronaldo Garcia; Jorge Sotomayor
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 135 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0926-2245
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📜 SIMILAR VOLUMES
In this paper are studied immersions of surfaces into to R 3 whose nets of asymptotic lines are topologically undisturbed under small perturbations of the immersion. These immersions are called structurally asymptotic stable. Sufficient conditions to belong to this class are established here. These
We study some properties of surfaces in 4-space all whose points are umbilic with respect to some normal field. In particular, we show that this condition is equivalent to the orthogonality of the (globally defined) fields of asymptotic directions. We also analyze necessary and sufficient conditions