Totally integrable symplectic billiards are ellipses (Q6592064)

The authors prove that a totally integrable strictly-convex billiard table, whose boundary has everywhere strictly positive curvature, must be an ellipse.\NAfter a short review about symplectic billiards, including well chosen references, the authors jump right into the proof of the main statement.\NThe paper is well written, and all crucial concepts are presented in a clear and understandable manner.