6 papers · 1 filter
Ricci curvature and minimal hypersurfaces with large Betti numbers
Davi Maximo, Philipp Reiser, Daniele Semola
In any dimension we construct a sequence of closed -dimensional Riemannian manifolds with positive Ricci curvature admitting embedded two-sided minimal hypersurfa…
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…
Surgery and positive Bakry-Ãmery Ricci curvature
Philipp Reiser, Francesca Tripaldi
We consider the problem of preserving weighted Riemannian metrics of positive Bakry-Ãmery Ricci curvature along surgery. We establish two theorems of this type: One for connected…
Positive Ricci Curvature on Twisted Suspensions
Philipp Reiser
The twisted suspension of a manifold is obtained by surgery along the fibre of a principal circle bundle over the manifold. It generalizes the spinning operation for knots and pres…
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…
Metrics of Positive Ricci Curvature on Simply-Connected Manifolds of Dimension
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…