On the Ricci curvature of a hypersurface in a space form
✍ Scribed by Mehmet Erdoğan
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 187 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0046-5755
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✦ Synopsis
We give an estimate for the Ricci curvature of a complete hypersurface M in a hyperbolic space H and in a sphere S under the same condition. As its application, we give the condition for unboundedness of a complete hypersurface M.
📜 SIMILAR VOLUMES
Wiener space will be given to study how the signs of their Ricci curvatures varies. As a result, it will be concluded that the Ricci curvature is no longer a geometrical object in contrast with the curvatures of finite dimensional manifolds. 1996 Academic Press, Inc. H Â2], l # B\*, where ( } , } )
The last years many results have been published about the existence of a RIEMANNian metric on a differentiable manifold, with prescribed RICCI tensor. However, if the RIEMANNian manifold (M, (,)) has positive RICCI curvature, then the RICCI tensor defines a new RIEMANNian metric on M, which is denot