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| Paper IPM / M / 738 |
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| Abstract: | |
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In this paper we study some non positively curved (especially flat) Riemannian manifolds acted on by a closed Lie group of isometries with principal orbits of codimension one. Among other results. It is proved that the orbit space of such manifolds can not be [0,1] and the singular orbit (if it exists) is a totally geodesic submanifold.
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