Moduli spaces of nonnegative sectional curvature and non-unique souls
Differential Geometry
2018-05-14 v3 Algebraic Topology
Abstract
We apply various topological methods to distinguish connected components of moduli spaces of complete Riemannian metrics of nonnegative sectional curvature on open manifolds. The new geometric ingredient is that souls of nearby nonnegatively curved metrics are ambiently isotopic.
Keywords
Cite
@article{arxiv.0912.4869,
title = {Moduli spaces of nonnegative sectional curvature and non-unique souls},
author = {Igor Belegradek and Slawomir Kwasik and Reinhard Schultz},
journal= {arXiv preprint arXiv:0912.4869},
year = {2018}
}
Comments
Proposition 4.4 corrected. A mistake in Proposition 2.8 is discussed after its statement