Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space
โ Scribed by Bang-Yen Chen
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 155 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0047-2468
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Communicated by K. Fukaya Received 17 March I998 fZhstmc,r: We prove that a minima1 immersion of a complete Riemannian manifold A4 into another complete noncompact Riemannian manifold N of positive curvature must have an unbounded image provided that M has scalar curvature bounded away from --o
The generalized equation and the intrinsic generalized equation are considered. The solutions of the first one are shown to correspond to Riemannian submanifolds Mn(K) of constant sectional curvature of pseudo-Riemannian manifolds Mn (K) of index s, with K K, flat normal bundle and such that the nor