# Klaus Kröncke: Local and global scalar curvature rigidity of Einstein manifolds

**Time: **
Thu 2023-09-21 10.15 - 11.15

**Location: **
3418, Lindstedtsvägen 25

**Language: **
English

**Participating: **
Klaus Kröncke, KTH

An Einstein manifold (M, g) is called scalar curvature rigid if there is no compactly supported

volume-preserving deformation of the metric g which increases the scalar curvature. We give

various characterizations of scalar curvature rigidity for open precompact Einstein manifolds

as well as for closed Einstein manifolds. As an application, we construct perturbations of the

Riemannian Schwarzschild metric and the Taub-Bolt metric which preserve the length of the

circle at infinity but decrease the mass. This is joint work with Mattias Dahl.