Cohomology rings of certain seven dimensional manifolds

Details Cohomology rings of certain seven dimensional manifolds Cohomology rings of certain seven dimensional manifolds

2008-10-11

arxiv.org/abs/0810.2056v2

Mathematics

Differential Geometry

25 pages; co-author added

Scientific paper

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.

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