Constant Mean Curvature Surfaces with Boundaryin Hyperbolic Space
✍ Scribed by Rafael López
- Publisher
- Springer Vienna
- Year
- 1999
- Tongue
- English
- Weight
- 196 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this article, we prove the following theorem: A complete hypersurface of the hyperbolic space form, which has constant mean curvature and non-negative Ricci curvature Q, has non-negative sectional curvature. Moreover, if it is compact, it is a geodesic distance sphere; if its soul is not reduced
## 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