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Hyperbolic Billiards on Surfaces of Constant Curvature

✍ Scribed by Boris Gutkin; Uzy Smilansky; Eugene Gutkin


Publisher
Springer
Year
1999
Tongue
English
Weight
171 KB
Volume
208
Category
Article
ISSN
0010-3616

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πŸ“œ SIMILAR VOLUMES


Complete surfaces in the hyperbolic spac
✍ 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