Some complete manifolds with non-negative curvature operator
β Scribed by Yuriko Y. Baldin; Maria Helena Noronha
- Publisher
- Springer-Verlag
- Year
- 1987
- Tongue
- French
- Weight
- 349 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
Homgeneous manifolds of nonpositive sectional curvature can be identified with a certain class of solvable Lie groups, We determine, which of these groups also admit metrics with nonpositive curvature operator; this class is smaller, but still contains many examples.
This paper is aimed at studying negatively curved Riemannian manifolds acted on by a Lie group of isometries with principal orbits of codimension one. The orbit space of such a manifold M is proved to be always homeomorphic to R or R+ and this second case may occur only when either the singular orbi