The Weinstein conjecture with multiplicities on spherizations

Details The Weinstein conjecture with multiplicities on spherizations The Weinstein conjecture with multiplicities on spherizations

2011-05-19

arxiv.org/abs/1105.3886v1

Mathematics

Symplectic Geometry

Universit\'e Libre de Bruxelles et Universit\'e de Neuch\^atel. PhD Thesis. 2011

Scientific paper

Let M be a smooth closed manifold and T*M its cotangent bundle endowed with the usual symplectic structure. A hypersurface S in T*M is said to be fiberwise starshaped if for each point q in M the intersection of S with the fiber at q is starshaped with respect to the origin. In this thesis we give lower bounds of the growth rate of the number of closed Reeb orbits on a fiberwise starshaped hypersurface in terms of the topology of the free loop space of M. We distinguish the two cases that the fundamental group of the base space M has an exponential growth of conjugacy classes or not. If the base space M is simply connected we generalize the theorem of Ballmann and Ziller on the growth of closed geodesics to Reeb flows.

Affiliated with

Also associated with

No associations

Rating

The Weinstein conjecture with multiplicities on spherizations 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 The Weinstein conjecture with multiplicities on spherizations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Weinstein conjecture with multiplicities on spherizations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-69335