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Total curvature of complete surfaces in hyperbolic space

✍ Scribed by Gil Solanes

Book ID
108051750
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
216 KB
Volume
225
Category
Article
ISSN
0001-8708

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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

On bounds for total absolute curvature o
On bounds for total absolute curvature of surfaces in hyperbolic 3-space
✍ RΓ©mi Langevin; Gil Solanes πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 98 KB

We construct examples of surfaces in hyperbolic space which do not satisfy the Chern-Lashof inequality (which holds for immersed surfaces in Euclidean space).