Positively curved 7-dimensional manifolds
dg-ga
2007-05-23 v2 Differential Geometry
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.
Cite
@article{arxiv.dg-ga/9712002,
title = {Positively curved 7-dimensional manifolds},
author = {Fabio Podesta and Luigi Verdiani},
journal= {arXiv preprint arXiv:dg-ga/9712002},
year = {2007}
}
Comments
7 pages; this new version contains one more important example