Ricci flow, Einstein metrics and the Yamabe invariant

Autoren: Klaus Kröncke (2013)

We prove dynamical stability and instability theorems for compact Einstein metrics under the Ricci flow. The stability and instability conditions are given in terms of the conformal Yamabe invariant and the Laplace spectrum. These theorems generalize results recently obtained in the Ricci-flat case.


zur Übersicht der Publikationen