Periodic billiard trajectories in smooth convex bodies

Details Periodic billiard trajectories in smooth convex bodies Periodic billiard trajectories in smooth convex bodies

2009-05-12

arxiv.org/abs/0905.1761v1

Geometric And Functional Analysis, 19:2, 2009, 423-428

Mathematics

Algebraic Topology

Scientific paper

10.1007/s00039-009-0009-3

We consider billiard trajectories in a smooth convex body in $\mathbb R^d$
and estimate the number of distinct periodic trajectories that make exactly $p$
reflections per period at the boundary of the body. In the case of prime $p$ we
obtain the lower bound $(d-2)(p-1)+2$, which is much better than the previous
estimates.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-336762