Positively curved 7-dimensional manifolds

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We deal with seven dimensional compact Riemannian manifolds of positive curvature which admit a cohomogeneity one action by a compact Lie group G. We prove that the manifold is diffeomorphic to a sphere if the dimension of the semisimple part of G is bigger than 6.
7 pages; this new version contains one more important example

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Differential Geometry, 53C21 57S15 (primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/33397

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9712002
 http://arxiv.org/abs/dg-ga/9712002

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arXiv