Nonnegative curvature, low cohomogeneity and complex cohomology
Differential Geometry
2016-02-15 v2 Geometric Topology
Abstract
We construct several infinite families of nonnegatively curved manifolds of low cohomogeneity and small dimension which can be distinguished by their cohomology rings. In particular, we exhibit an infinite family of eight-dimensional cohomogeneity one manifolds of nonnegative curvature with pairwise non-isomorphic complex cohomology rings.
Keywords
Cite
@article{arxiv.1503.08290,
title = {Nonnegative curvature, low cohomogeneity and complex cohomology},
author = {Anand Dessai},
journal= {arXiv preprint arXiv:1503.08290},
year = {2016}
}
Comments
17 pages, no figures, v2: a few typos corrected, suggestions by the referee concerning the exposition included, to appear in Muenster Journal of Mathematics