Ricci Solitons Days in Pisa 2011
timetable:
Thu 7 Apr, 11:30 - 12:30, Aula Dini
<< Go back
A Precompactness Theorem for Quasi-Einstein Manifolds
speaker: Jeffrey S. Case (Princeton University)abstract: In this talk, we will introduce a conformally invariant definition of an \(m\)-quasi-Einstein metric, where \(m = \infty\)-quasi-Einstein metrics are gradient Ricci solitons. This will lead to a natural notion of an "\(m\)-energy", which generalizes the Yamabe constant (\(m = 0\)) and Perelman’s \(\nu\)-entropy (\(m = 1\)). Using these concepts, we will prove a precompactness theorem for compact quasi-Einstein manifolds under natural geometric conditions, generalizing similar theorems for Einstein manifolds and gradient Ricci solitons. In particular, the parameter \(m\) will be allowed to vary and possibly be infinite.
timetable:
Thu 7 Apr, 11:30 - 12:30, Aula Dini
<< Go back