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Cohomogeneity one Riemannian manifolds of even dimension with strictly positive curvature, I

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Abstract.

We classify compact positively curved Riemannian manifolds of even dimension acted on by a semisimple (but not simple) group with a codimension one orbit.

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Received: 19 September 2000; in final form: 29 October 2001/ Published online: 29 April 2002

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Verdiani, L. Cohomogeneity one Riemannian manifolds of even dimension with strictly positive curvature, I. Math Z 241, 329–339 (2002). https://doi.org/10.1007/s002090200417

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  • DOI: https://doi.org/10.1007/s002090200417

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