5 papers
Free circle actions and positive Ricci curvature on manifolds with the cohomology ring of
Philipp Reiser
We classify which of the 672 oriented diffeomorphism types of closed, simply-connected spin 7-manifolds with the cohomology ring of admit a free circle action. In a…
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…
Free torus actions and twisted suspensions
Fernando Galaz-GarcÃa, Philipp Reiser
We express the total space of a principal circle bundle over a connected sum of two manifolds in terms of the total spaces of circle bundles over each summand, provided certain con…
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…