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Surfaces with planar lines of curvature and orthogonal systems of cycles

✍ Scribed by Leite, Maria Luiza


Book ID
127070884
Publisher
Elsevier Science
Year
2015
Tongue
English
Weight
508 KB
Volume
421
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES


Umbilicity of surfaces with orthogonal a
✍ Marı́a del Carmen Romero-Fuster; Federico SΓ‘nchez-Bringas πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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