P. Petersen

activity

19952026

most citedOn the classification of gradient Ricci solitons

127 citations · 350 across the 23 of their papers we have counts for

collaborators

Showing 2022 · math.DGShow all

2 papers · 2 filters

math.DG2022★ 10 cited

Holonomy restrictions from the curvature operator of the second kind

Jan Nienhaus, Peter Petersen, Matthias Wink +1

We show that an $n$ -dimensional Riemannian manifold with $n$ -nonnegative or $n$ -nonpositive curvature operator of the second kind has restricted holonomy $S O (n)$ or is flat. The re…

math.DG2022★ 15 cited

Betti numbers and the curvature operator of the second kind

Jan Nienhaus, Peter Petersen, Matthias Wink

We show that compact, $n$ -dimensional Riemannian manifolds with $\frac{n + 2}{2}$ -nonnegative curvature operators of the second kind are either rational homology spheres or flat. Mor…