A local Sobolev inequality on Ricci flow and its applications

发布时间：2023-05-23 作者：浏览次数：

Speaker:	张永甲教授	DateTime:	2023年6月1日(周四)下午16:00-17:00
Brief Introduction to Speaker: 张永甲上海交通大学教授		Place:	6号楼M201报告厅
Abstract:We prove a local Sobolev inequality for complete Ricci flows. Some applications of this inequality are also introduced, showing the way in which the local geometry evolves along Ricci flow. In particular, we show that several classical theorems related to Perelman's monotonicity formula can be derived from our results. This is a joint work with Pak-Yeung Chan and Zilu Ma.