Spaces of positive intermediate curvature metrics

Abstract

In this paper we study spaces of Riemannian metrics with lower bounds on intermediate curvatures. We show that the spaces of metrics of positive p-curvature and k-positive Ricci curvature on a given high-dimensional Spin-manifold have many non-trivial homotopy groups provided that the manifold admits such a metric.

34 pages

References in corpus (3)

• An $H{P}^2$-bundle over $S^4$ with nontrivial $\hat{A}$-genus
• Bundles with non-multiplicative $\hat{A}$-genus and spaces of metrics with lower curvature bounds
• H-Space structures on spaces of metrics of positive scalar curvature

Cited by in corpus (1)

• On manifolds with almost non-negative Ricci curvature and integrally-positive $k^{th}$-scalar curvature