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arXiv · 1805.02239

Index theory and deformations of open nonnegatively curved manifolds

Igor Belegradek
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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.

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Igor Belegradek. 2018-05-06. Index theory and deformations of open nonnegatively curved manifolds. https://arxiv.org/abs/1805.02239

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