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Positively curved 7-dimensional manifolds

Fabio Podesta·Luigi Verdiani
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Abstract

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.

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BibTeXRIS

Fabio Podesta, Luigi Verdiani. 1997-12-04. Positively curved 7-dimensional manifolds. https://arxiv.org/abs/dg-ga/9712002

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