Yiming Long

Nankai University (China)

Closed characteristics on convex hypersurfaces in R6

In this talk, I shall give a survey on recent results on closed characteristics on convex compact hyper-surfaces in R2n. Specially recently, jointly with W. Wang and X. Hu, we have proved that there exist at least three geometrically distinct closed characteristics on every smooth convex compact hyper-surface in R6.