Periodic points of the billiard ball map in a convex domain
نویسندگان
چکیده
منابع مشابه
Periodic Billiard Trajectories in Smooth Convex Bodies
We consider billiard trajectories in a smooth convex body in R 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.
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1989
ISSN: 0022-040X
DOI: 10.4310/jdg/1214443290