Title: The Einstein--Hilbert functional and the Sasaki--Futaki invarian

报告人：Hongnian Huang  （University of Nex Mexico）

时间：6月16日（星期二）：下午：2:00--3:30

地点：管理楼1218
 Abstract:  We show that the Einstein--Hilbert functional, as a functional on the space of Reeb vector fields, detects the vanishing Sasaki-Futaki invariant. In particular, this provides an obstruction to the existence of a constant scalar curvature Sasakian metric. As an application we prove that K-semistable polarized Sasaki manifold has vanishing Sasaki-Futaki invariant. We then apply this result to show that under the right conditions on the Sasaki join manifolds, a polarized Sasaki manifold is K-semistable if only if it has constant scalar curvature. This is a joint work with Charles Boyer, Eveline Legendre and Christina Tonnesen-Friedman.