New Ricci flow invariant curvature conditions in large dimensions


Burkhard Wilking

15:20:00 - 16:20:00

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

We consider a very simple curvature condition:Given constant c and a dimension n we say that a manifold (M,g) satisfies the condition (c,n) is if the scalar curvature is bounded below by c times the norm of the Weyl curvature.We show that in each large even dimensions there is precisely one constant c=c(n)>0 such that this condition is invariant under the Ricci flow. I then present two very different and simple constructions which allow to produce examples of such manifolds.