Ricci Flow and Classification of Certain Four-manifolds

摘要：

　　It is well-known that Ricci flow has played a vital role in 3-dimensional topology.The Ricci flow with surgery in dimension 4 has been developed in a seminal paper by R.Hamilton in 1997.In this talk, I will show that the recent results of Ricci flow can give a complete classification of compact 4-manifolds whose certain generalized Yamabe invariant are positive.This classification is an analogue of a classification theorem of R.Schoen and S.T.Yau on 3-manifolds with positive Yamabe invariant.This talk is based on authors two joint papers with Zhu 3, 5, one joint paper with Tang and Zhu4.

关键词： Ricci flow classification theorem

作者: Bing-Long Chen

作者单位: DEPARTMENT OF MATHEMATICS, SUN YAT-SEN UNIVERSITY GUANGZHOU 510275, CHINA

会议类型: 国际会议

会议名称: The 6th International Congress of Chinese Mathematicians (第6届世界华人数学家大会)

会议地点: 台北

会议语种:英文

页码: 3-10

在线出版日期: 2013-07-14（万方平台首次上网日期，不代表论文的发表时间）