Philipp Reiser

activity

20192026

most citedGeneralized Surgery on Riemannian Manifolds of Positive Ricci Curvature

9 citations · 18 across the 16 of their papers we have counts for

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Showing 2022 · math.DGShow all

3 papers · 2 filters

math.DG2022★ 1 cited

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.DG2022★ 1 cited

Metrics of Positive Ricci Curvature on Simply-Connected Manifolds of Dimension $6 k$

Philipp Reiser

A consequence of the surgery theorem of Gromov and Lawson is that every closed, simply-connected 6-manifold admits a Riemannian metric of positive scalar curvature. For metrics of…

math.DG2022★ 1 cited

Intermediate Ricci curvatures and Gromov's Betti number bound

Philipp Reiser, David J. Wraith

We consider intermediate Ricci curvatures $R i c_{k}$ on a closed Riemannian manifold $M^{n}$ . These interpolate between the Ricci curvature when $k = n - 1$ and the sectional curvature when…

Positive Intermediate Ricci Curvature on Fibre Bundles

Metrics of Positive Ricci Curvature on Simply-Connected Manifolds of Dimension 6k

Intermediate Ricci curvatures and Gromov's Betti number bound

Metrics of Positive Ricci Curvature on Simply-Connected Manifolds of Dimension $6 k$