Totally geodesic orbits of isometries

Details Totally geodesic orbits of isometries Totally geodesic orbits of isometries

1997-11-17

arxiv.org/abs/dg-ga/9711012v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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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