Periodic trajectories in 3-dimensional convex billiards

Details Periodic trajectories in 3-dimensional convex billiards Periodic trajectories in 3-dimensional convex billiards

2001-06-07

arxiv.org/abs/math/0106049v1

Mathematics

Differential Geometry

8 pages

Scientific paper

We give lower bound on the number of periodic billiard trajectories inside a
generic smooth strictly convex closed surface in 3-space: for odd n, there are
at least 2(n-1) such trajectories. We apply a topological approach based on the
calculation of cohomology of certain configuration spaces.

Affiliated with

Also associated with

No associations

Rating

Periodic trajectories in 3-dimensional convex billiards 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 Periodic trajectories in 3-dimensional convex billiards, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Periodic trajectories in 3-dimensional convex billiards will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-459468