Poincaré inequality and structure of complete manifolds


Peter Li

10:00:00 - 11:00:00

浦大邦講堂 , Institute of Atomic and Molecular Sciences, Dr. Poe Lecture Hall

In this talk, I will give a brief survey of my series of joint papers with Jiaping Wang and also other subsequent results in the subject. Objects of our investigation are complete manifolds whose Ricci curvature has a lower bound. If the manifold also admits a certain Poincaré inequality, then one can conclude certain topological and metric properties of the manifold.