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arxiv: dg-ga/9711012 · v1 · submitted 1997-11-17 · dg-ga · math.DG

Totally geodesic orbits of isometries

classification dg-ga math.DG
keywords geodesicmanifoldsorbitriemanniantotallyactedapplicationclassify
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We study cohomogeneity one Riemannian manifolds and we establish some simple criterium to test when a singular orbit is totally geodesic. As an application, we classify compact, positively curved Riemannian manifolds which are acted on isometrically by a non semisimple Lie group with an hypersurface orbit.

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