Positively curved 7-dimensional manifolds
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.
- Publication:
-
eprint arXiv:dg-ga/9712002
- Pub Date:
- December 1997
- DOI:
- 10.48550/arXiv.dg-ga/9712002
- arXiv:
- arXiv:dg-ga/9712002
- Bibcode:
- 1997dg.ga....12002P
- Keywords:
-
- Differential Geometry;
- 53C21 57S15 (primary)
- E-Print:
- 7 pages