Index theory and deformations of open nonnegatively curved manifolds

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.

18 pages

Cited by in corpus (1)

• On the topology of moduli spaces of non-negatively curved Riemannian metrics