学术报告
The Weitzenbock formula on four-manifolds and applications
题目：The Weitzenbock formula on four-manifolds and applications
报告人：Prof. Peng Wu（复旦大学77779193永利官网）
摘要：
Einstein metrics are interesting canonical metrics in differential geometry, and recently there has been lots of research on their natural generalizations, such as gradient Ricci solitons and quasi-Einstein metrics. the main tools for (real) Einstein four-manifolds with positive scalar curvature are curvature decompositions and the Weitzenbock formula. We will discuss Derdzinski's Weitzenbock formula for Einstein metrics, and an alternative proof using Berger curvature decomposition, which can be extended to gradient Ricci solitons, quasi-Einstein metrics etc. Then we will discuss the rigidity of Einstein metrics, gradient Ricci solitons, quasi-Einstein metrics under various curvature assumptions.
时间： 5月30日（周一）3:30-5:00
6月2日（周四）下午3:30-5:00
地点：首都师大北一区文科楼507教室
欢迎全体师生积极参加！
