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.
Funding Statement
This work was partially supported by the Simons Foundation grant 524838.
Citation
Igor Belegradek. "Index theory and deformations of open nonnegatively curved manifolds." J. Differential Geom. 122 (2) 185 - 203, October 2022. https://doi.org/10.4310/jdg/1669998181
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