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Diffeomorphism type of six-dimensional cohomogeneity one manifolds

✍ Scribed by Corey A. Hoelscher

Publisher: Springer
Year: 2010
Tongue: English
Weight: 178 KB
Volume: 38
Category: Article
ISSN: 0232-704X
DOI: 10.1007/s10455-010-9196-2

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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