Index theory and deformations of open nonnegatively curved manifolds
Differential Geometry
2018-05-08 v1
Abstract
We use an index-theoretic technique of Hitchin to show that the space of complete Riemannian metrics of nonnegative sectional curvature on certain open spin manifolds has nontrivial homotopy groups in infinitely many degrees. A new ingredient of independent interest is homotopy density of the subspace of metrics with cylindrical ends.
Keywords
Cite
@article{arxiv.1805.02239,
title = {Index theory and deformations of open nonnegatively curved manifolds},
author = {Igor Belegradek},
journal= {arXiv preprint arXiv:1805.02239},
year = {2018}
}
Comments
18 pages