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math.DG2025
Positive Intermediate Ricci Curvature on Fibre Bundles
Philipp Reiser, David J. Wraith
We prove a canonical variation-type result for submersion metrics with positive intermediate Ricci curvatures. This can then be used in conjunction with surgery techniques to estab…
math.DG2025
On the topology of the moduli space of positive scalar curvature concordances
Boris Botvinnik, David J. Wraith
Let be a manifold which admits a metric with positive scalar curvature (or a positive intermediate curvature in a suitable sense). We study the moduli space ${\mathscr{M}}^{\ma…
math.DG2024
Intermediate Ricci curvatures and Gromov's Betti number bound
Philipp Reiser, David J. Wraith
We consider intermediate Ricci curvatures on a closed Riemannian manifold . These interpolate between the Ricci curvature when and the sectional curvature when…