The Mann algorithm in a complete geodesic space with curvature bounded above
β Scribed by Kimura, Yasunori; Saejung, Satit; Yotkaew, Pongsakorn
- Book ID
- 125401632
- Publisher
- Springer International Publishing AG
- Year
- 2013
- Tongue
- English
- Weight
- 240 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 1687-1820
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π SIMILAR VOLUMES
## Abstract In this paper we study complete orientable surfaces with a constant principal curvature __R__ in the 3βdimensional 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
In this note we show that the total curvature of a geodesic in the manifoldwith-boundary consisting of Euclidean 3-space with a boundary of the form z = f(x, y) has a bound of at most 2p iff satisfies a Lipschitz condition with the Lipschitz constant at most p. This global result immediately yields