A halfspace theorem for proper, negatively curved immersions
β Scribed by Matthias Bergner
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 158 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0232-704X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove a Bonnet theorem for isometric immersions of semi-Riemannian manifolds into products of semi-Riemannian space forms. Namely, we give necessary and sufficient conditions for the existence and uniqueness (up to an isometry of the ambient space) of an isometric immersion of a semi-Riemannian m
It is proved that a non-simply-connected complete hyperbolic manifold cannot be isometrically immersed in a Euclidean space with a flat normal connection. In particular, the complete hyperbolic manifold M" with ~1 (M) # 0 cannot be isometrically immersed in IW2n-'.