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Lines of curvature on surfaces immersed in ℝ4

✍ Scribed by Carlos Gutierrez; Irwen Guadalupe; Renato Tribuzy; Víctor Guíñez


Publisher
Springer
Year
1997
Tongue
English
Weight
696 KB
Volume
28
Category
Article
ISSN
1678-7714

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📜 SIMILAR VOLUMES


Umbilicity of surfaces with orthogonal a
✍ Marı́a del Carmen Romero-Fuster; Federico Sánchez-Bringas 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 103 KB

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