Weingarten rotation surfaces in 3-dimensional de Sitter space
β Scribed by Huili Liu; Guili Liu
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 129 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0047-2468
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In three-dimensional de Sitter space S 3 1 and anti-de Sitter space H 3 1 , we generalize the classical BΓ€cklund theorem. Moreover, we obtain explicit forms of BΓ€cklund transformations (BTs) in the Tchebyshev coordinates and investigate the relation of loop group actions and BTs in S 3 1 .
In this paper, we establish several sufficient conditions for a compact spacelike surface with non-degenerate second fundamental form in the 3-dimensional de Sitter space to be spherical. With this aim, we develop a formula for these surfaces which involves the mean and Gaussian curvatures of the fi