9 citations · 18 across the 16 of their papers we have counts for
4 papers · 1 filter
Surgery and positive Bakry-Émery Ricci curvature
Philipp Reiser, Francesca Tripaldi
We consider the problem of preserving weighted Riemannian metrics of positive Bakry-Émery Ricci curvature along surgery. We establish two theorems of this type: One for connected s…
Examples of tangent cones of non-collapsed Ricci limit spaces
Philipp Reiser
We give new examples of manifolds that appear as cross sections of tangent cones of non-collapsed Ricci limit spaces. It was shown by Colding-Naber that the homeomorphism types of…
Positive Ricci curvature on connected sums of fibre bundles
Philipp Reiser
We consider the problem of preserving positive Ricci curvature along connected sums. In this context, based on earlier work by Perelman, Burdick introduced the notion of core metri…
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…