Ricci flow and the scalar curvature rigidity of Einstein manifolds
Differential Geometry
2025-10-29 v1
Abstract
We review recent results relating linear stability to dynamical stability and the scalar curvature rigidity of Einstein manifolds. We discuss closed and open Einstein manifolds as well as complete noncompact Einstein manifolds which are asymptotically locally Euclidean and asymptotically hyperbolic. For these classes, the relation to the positive mass theorem will also be explained.
Keywords
Cite
@article{arxiv.2510.24529,
title = {Ricci flow and the scalar curvature rigidity of Einstein manifolds},
author = {Klaus Kroencke},
journal= {arXiv preprint arXiv:2510.24529},
year = {2025}
}
Comments
14 pages