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Surfaces of Rotation with Constant Extrinsic Curvature in a Conformally Flat 3-Space

✍ Scribed by Armando V. Corro; Romildo Pina; Marcelo Souza

Publisher
Springer
Year
2011
Tongue
English
Weight
215 KB
Volume
60
Category
Article
ISSN
1422-6383

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πŸ“œ SIMILAR VOLUMES

Complete surfaces in the hyperbolic spac
Complete surfaces in the hyperbolic space with a constant principal curvature
✍ Juan A. Aledo; JosΓ© A. GΓ‘lvez πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 110 KB

## Abstract In this paper we study complete orientable surfaces with a constant principal curvature __R__ in the 3‐dimensional hyperbolic space **H**^3^. We prove that if __R__^2^ > 1, such a surface is totally umbilical or umbilically free and it can be described in terms of a complete regular cur