Positively curved 7-dimensional manifolds

Details Positively curved 7-dimensional manifolds Positively curved 7-dimensional manifolds

1997-12-02

arxiv.org/abs/dg-ga/9712002v2

Mathematics

Differential Geometry

7 pages; this new version contains one more important example

Scientific paper

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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