Systems of global surfaces of section on dynamically convex energy levels

Details Systems of global surfaces of section on dynamically convex energy levels Systems of global surfaces of section on dynamically convex energy levels

2011-05-11

arxiv.org/abs/1105.2077v2

Mathematics

Symplectic Geometry

50 pages, 1 figure. Results were strengthened: we now deal with a general dynamically convex tight Reeb flow on the 3-sphere

Scientific paper

Hofer, Wysocki and Zehnder proved in \cite{convex} that the Hamiltonian flow on a strictly convex energy level in $\R^4$ has a disk-like global surface of section. We show here that a periodic orbit given by a fixed point of the (first) return map to the disk obtained in \cite{convex} also bounds a disk-like global surface of section. We also treat the case of a general tight dynamically convex contact form on $S^3$.

Affiliated with

Also associated with

No associations

Rating

Systems of global surfaces of section on dynamically convex energy levels does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Systems of global surfaces of section on dynamically convex energy levels, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Systems of global surfaces of section on dynamically convex energy levels will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-610923