Dynamical stability and instability of Ricci-flat metrics

By Robert Haslhofer, Reto Müller. Mathematische Annalen, 2013

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In this short article, we improve the dynamical stability and instability results for Ricci-flat metrics under Ricci flow proved by Sesum (Duke Math J 133:1–26, 2006) and Haslhofer (Calc Var Partial Differ Equ 45:481–504, 2012), getting rid of the integrability assumption.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5c5c8b0d63b2464b57eb78b690fbe97da4c38948