报告人:Dr. Changliang WangMax-Planck-Institut fur Mathematik

  

时间:0408日(星期一)上午10:00--11:00

  

地点:苏州大学本部精正楼211

  

报告摘要:Einstein metrics on a compact manifold are critical points of the normalized total scalar curvature functional. So it is natural to study the behavior of the second variation of the normalized total scalar curvature functional at an Einstein metric. This is known as the linear stability problem of Einstein metrics. In this talk, we will briefly review previous works on this problem and the relations with dynamic stability of Ricci flow, and then I will report our recent work on the linear stability of some interesting Einstein manifolds, including some Riemannian manifolds with real Killing spinors, and Einstein metrics from bundle constructions. This is a joint work with Prof. McKenzie Wang.