Cohomology rings of certain seven dimensional manifolds
Differential Geometry
2008-12-08 v2 Algebraic Topology
Abstract
We calculate the cohomology rings of a collection of seven dimensional manifolds supporting an S^3 x S^3-action with one dimensional orbit space. These manifolds are of interest to differential geometers studying non-negative and positive sectional curvature. From this collection, we identify several families of manifolds for which there exist well-known topological invariants distinguishing homeomorphism and diffeomorphism types.
Keywords
Cite
@article{arxiv.0810.2056,
title = {Cohomology rings of certain seven dimensional manifolds},
author = {Christine M. Escher and S. K. Ultman},
journal= {arXiv preprint arXiv:0810.2056},
year = {2008}
}
Comments
25 pages; co-author added